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Finding the Third Proportional to 82,221.75 and 180,154.13

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Solution

The third proportional to 82,221.75 and 180,154.13 is: 394,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.75 : 180,154.13 = 180,154.13 : x
  2. Step 2: Convert to fraction form
    82,221.75/180,154.13 = 180,154.13/x
  3. Step 3: Cross multiply
    82,221.75x = 180,154.13 × 180,154.13
  4. Step 4: Simplify right side
    82,221.75x = 32,455,508,754.52
  5. Step 5: Solve for x
    x = 32,455,508,754.52/82,221.75
  6. Step 6: Final answer
    x = 394,731.43

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Why These Related Problems?

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