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Finding the Third Proportional to 82,544.06 and 180,910.97

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Solution

The third proportional to 82,544.06 and 180,910.97 is: 396,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,544.06 : 180,910.97 = 180,910.97 : x
  2. Step 2: Convert to fraction form
    82,544.06/180,910.97 = 180,910.97/x
  3. Step 3: Cross multiply
    82,544.06x = 180,910.97 × 180,910.97
  4. Step 4: Simplify right side
    82,544.06x = 32,728,778,614.06
  5. Step 5: Solve for x
    x = 32,728,778,614.06/82,544.06
  6. Step 6: Final answer
    x = 396,500.70

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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.