BALTIC-WAY 1992 Problem 6
- Answer
Prove that the product of the 99 numbers of the form where , is greater than .
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1 \cdot 2 \cdot\left(100^{2}+100+1\right)}{100 \cdot 101 \cdot\left(1^{2}+1+1\right)}>\frac{2}{3}
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