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Finding the Third Proportional to 80,969,338.97 and 174,840,778.13

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Solution

The third proportional to 80,969,338.97 and 174,840,778.13 is: 377,541,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969,338.97 : 174,840,778.13 = 174,840,778.13 : x
  2. Step 2: Convert to fraction form
    80,969,338.97/174,840,778.13 = 174,840,778.13/x
  3. Step 3: Cross multiply
    80,969,338.97x = 174,840,778.13 × 174,840,778.13
  4. Step 4: Simplify right side
    80,969,338.97x = 30,569,297,695,355,480
  5. Step 5: Solve for x
    x = 30,569,297,695,355,480/80,969,338.97
  6. Step 6: Final answer
    x = 377,541,648.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.