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Finding the Third Proportional to 80,901.56 and 176,006.81

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Solution

The third proportional to 80,901.56 and 176,006.81 is: 382,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,901.56 : 176,006.81 = 176,006.81 : x
  2. Step 2: Convert to fraction form
    80,901.56/176,006.81 = 176,006.81/x
  3. Step 3: Cross multiply
    80,901.56x = 176,006.81 × 176,006.81
  4. Step 4: Simplify right side
    80,901.56x = 30,978,398,046.41
  5. Step 5: Solve for x
    x = 30,978,398,046.41/80,901.56
  6. Step 6: Final answer
    x = 382,914.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.