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Finding the Third Proportional to 138,921,206.20 and 274,328,996.91

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Solution

The third proportional to 138,921,206.20 and 274,328,996.91 is: 541,720,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,921,206.20 : 274,328,996.91 = 274,328,996.91 : x
  2. Step 2: Convert to fraction form
    138,921,206.20/274,328,996.91 = 274,328,996.91/x
  3. Step 3: Cross multiply
    138,921,206.20x = 274,328,996.91 × 274,328,996.91
  4. Step 4: Simplify right side
    138,921,206.20x = 75,256,398,543,589,328
  5. Step 5: Solve for x
    x = 75,256,398,543,589,328/138,921,206.20
  6. Step 6: Final answer
    x = 541,720,019.57

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.