A potentiometer is connected between $A$ and $B$ and the balance point is obtained at $203. 6\,cm$. When the end of the potentiometer connected to $B$ is shifted to $C$, then the balance point is obtained at $24.6\,cm$. If now the potentiometer be connected between $B$ and $C$, the balance point will be at ................. $cm$
AIIMS 2010, Medium
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