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Finding the Third Proportional to 87,653.94 and 191,934.17

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Solution

The third proportional to 87,653.94 and 191,934.17 is: 420,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,653.94 : 191,934.17 = 191,934.17 : x
  2. Step 2: Convert to fraction form
    87,653.94/191,934.17 = 191,934.17/x
  3. Step 3: Cross multiply
    87,653.94x = 191,934.17 × 191,934.17
  4. Step 4: Simplify right side
    87,653.94x = 36,838,724,458.98
  5. Step 5: Solve for x
    x = 36,838,724,458.98/87,653.94
  6. Step 6: Final answer
    x = 420,274.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.