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Finding the Third Proportional to 87,590,847 and 206,766,416

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Solution

The third proportional to 87,590,847 and 206,766,416 is: 488,091,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,590,847 : 206,766,416 = 206,766,416 : x
  2. Step 2: Convert to fraction form
    87,590,847/206,766,416 = 206,766,416/x
  3. Step 3: Cross multiply
    87,590,847x = 206,766,416 × 206,766,416
  4. Step 4: Simplify right side
    87,590,847x = 42,752,350,785,485,056
  5. Step 5: Solve for x
    x = 42,752,350,785,485,056/87,590,847
  6. Step 6: Final answer
    x = 488,091,532.96

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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.