A New Flag?

Geometry Level 2

\(ABCD\) is a rectangle and \(P\) is any point on \(AC\) (except \(A\) and \(C\)). Through \(P\) is plotted a line parallel to \(BC\) which cuts \(AB\) and \(DC\) at \(R\) and \(S\), respectively. Also, through \(S\) is plotted a line parallel to \(AC\) which cuts \(AD\) at \(T\).

Find \(\dfrac{\text{Area }TSPA}{\text{Area } PRB}\).

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