// {{{ Templates
#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;

// }}}

constexpr long double EPS = 1e-10;

inline long double bin(const ll a, const ll b, const long double t)
{
    const long double lgt = log(t);
    long double inf = -1.0;
    long double sup = 11.0;
    //    while (sup > inf) {
    for (int i = 0; i < 52; i++) {
        const long double mid = (inf + sup) / 2;
        const long double c = a * mid + b * log(mid);
        // if (abs(c - lgt) < EPS) {
        //     break;
        // }
        if (c < lgt) {
            inf = mid;
        } else {
            sup = mid;
        }
    }
    return exp(inf);
}

inline long double newton(const ll a, const ll b, const long double t)
{
    long double x = 4.0;
    while (true) {
        show(x);
        const long double cal = a * x + b * log(x) - log(t);
        if (abs(cal) < EPS) {
            break;
        }
        x -= cal / (a + b / x);
    }
    return exp(x);
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll m;
    cin >> m;
    for (ll i = 0; i < m; i++) {
        ll a, b;
        cin >> a >> b;
        long double t;
        cin >> t;
        cout << fixed << setprecision(12) << bin(a, b, t) << "\n";
        //        cout << fixed << setprecision(12) << newton(a, b, t) << "\n";
    }
    return 0;
}