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Finding the Third Proportional to 80,091.14 and 176,169.66

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Solution

The third proportional to 80,091.14 and 176,169.66 is: 387,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,091.14 : 176,169.66 = 176,169.66 : x
  2. Step 2: Convert to fraction form
    80,091.14/176,169.66 = 176,169.66/x
  3. Step 3: Cross multiply
    80,091.14x = 176,169.66 × 176,169.66
  4. Step 4: Simplify right side
    80,091.14x = 31,035,747,783.24
  5. Step 5: Solve for x
    x = 31,035,747,783.24/80,091.14
  6. Step 6: Final answer
    x = 387,505.38

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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.