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Finding the Third Proportional to 87,877,632 and 191,377,824

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Solution

The third proportional to 87,877,632 and 191,377,824 is: 416,778,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,877,632 : 191,377,824 = 191,377,824 : x
  2. Step 2: Convert to fraction form
    87,877,632/191,377,824 = 191,377,824/x
  3. Step 3: Cross multiply
    87,877,632x = 191,377,824 × 191,377,824
  4. Step 4: Simplify right side
    87,877,632x = 36,625,471,518,974,976
  5. Step 5: Solve for x
    x = 36,625,471,518,974,976/87,877,632
  6. Step 6: Final answer
    x = 416,778,088.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.