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Finding the Third Proportional to 80,815,711.50 and 177,276,179.25

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Solution

The third proportional to 80,815,711.50 and 177,276,179.25 is: 388,870,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,815,711.50 : 177,276,179.25 = 177,276,179.25 : x
  2. Step 2: Convert to fraction form
    80,815,711.50/177,276,179.25 = 177,276,179.25/x
  3. Step 3: Cross multiply
    80,815,711.50x = 177,276,179.25 × 177,276,179.25
  4. Step 4: Simplify right side
    80,815,711.50x = 31,426,843,729,478,132
  5. Step 5: Solve for x
    x = 31,426,843,729,478,132/80,815,711.50
  6. Step 6: Final answer
    x = 388,870,470.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.