Two balls \(A\) and \(B\) are thrown horizontally from a height of \(H,\) as shown above. The horizontal throw lengths of \(A\) and \(B\) are \(R\) and \(2R,\) respectively. Let \(h\) be the height of \(B\) when its horizontal throw length is \(R.\) What is the ratio \(h:H?\)

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