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Algebra Level 5

\[\left \lfloor r+\frac{19}{100} \right \rfloor+\left \lfloor r+\frac{20}{100} \right \rfloor+\cdots+\left \lfloor r+\frac{91}{100} \right \rfloor=546.\]

Given that \(r\) is a real number that satisfy the equation above, find the value of \(\lfloor 100r \rfloor\).

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