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Geometry Level 4

The circle centered \(O_1\) has radius \(a\).
The circle centered \(O_2\) has radius \(b\).
The circle centered \(O_3\) has radius \(c\).
If \( l \parallel m \) and \( a >b >c \), then find

\[ \frac{a^2}{bc} \]

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