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Finding the Third Proportional to 87,590,838.75 and 206,766,400.50

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Solution

The third proportional to 87,590,838.75 and 206,766,400.50 is: 488,091,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,590,838.75 : 206,766,400.50 = 206,766,400.50 : x
  2. Step 2: Convert to fraction form
    87,590,838.75/206,766,400.50 = 206,766,400.50/x
  3. Step 3: Cross multiply
    87,590,838.75x = 206,766,400.50 × 206,766,400.50
  4. Step 4: Simplify right side
    87,590,838.75x = 42,752,344,375,726,400
  5. Step 5: Solve for x
    x = 42,752,344,375,726,400/87,590,838.75
  6. Step 6: Final answer
    x = 488,091,505.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.