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Finding the Third Proportional to 234,107,766 and 542,123,901

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Solution

The third proportional to 234,107,766 and 542,123,901 is: 1,255,397,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,107,766 : 542,123,901 = 542,123,901 : x
  2. Step 2: Convert to fraction form
    234,107,766/542,123,901 = 542,123,901/x
  3. Step 3: Cross multiply
    234,107,766x = 542,123,901 × 542,123,901
  4. Step 4: Simplify right side
    234,107,766x = 293,898,324,035,457,792
  5. Step 5: Solve for x
    x = 293,898,324,035,457,792/234,107,766
  6. Step 6: Final answer
    x = 1,255,397,584.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.