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Finding the Third Proportional to 80,505,025.88 and 176,825,494.13

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Solution

The third proportional to 80,505,025.88 and 176,825,494.13 is: 388,388,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505,025.88 : 176,825,494.13 = 176,825,494.13 : x
  2. Step 2: Convert to fraction form
    80,505,025.88/176,825,494.13 = 176,825,494.13/x
  3. Step 3: Cross multiply
    80,505,025.88x = 176,825,494.13 × 176,825,494.13
  4. Step 4: Simplify right side
    80,505,025.88x = 31,267,255,372,550,408
  5. Step 5: Solve for x
    x = 31,267,255,372,550,408/80,505,025.88
  6. Step 6: Final answer
    x = 388,388,861.85

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