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Finding the Third Proportional to 82,549.13 and 180,921.09

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Solution

The third proportional to 82,549.13 and 180,921.09 is: 396,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,549.13 : 180,921.09 = 180,921.09 : x
  2. Step 2: Convert to fraction form
    82,549.13/180,921.09 = 180,921.09/x
  3. Step 3: Cross multiply
    82,549.13x = 180,921.09 × 180,921.09
  4. Step 4: Simplify right side
    82,549.13x = 32,732,442,163.70
  5. Step 5: Solve for x
    x = 32,732,442,163.70/82,549.13
  6. Step 6: Final answer
    x = 396,520.76

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