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Finding the Third Proportional to 123,747,961.50 and 272,206,795.50

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Solution

The third proportional to 123,747,961.50 and 272,206,795.50 is: 598,769,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,747,961.50 : 272,206,795.50 = 272,206,795.50 : x
  2. Step 2: Convert to fraction form
    123,747,961.50/272,206,795.50 = 272,206,795.50/x
  3. Step 3: Cross multiply
    123,747,961.50x = 272,206,795.50 × 272,206,795.50
  4. Step 4: Simplify right side
    123,747,961.50x = 74,096,539,516,378,816
  5. Step 5: Solve for x
    x = 74,096,539,516,378,816/123,747,961.50
  6. Step 6: Final answer
    x = 598,769,778.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.