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Finding the Third Proportional to 83,767.13 and 180,655.88

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Solution

The third proportional to 83,767.13 and 180,655.88 is: 389,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.13 : 180,655.88 = 180,655.88 : x
  2. Step 2: Convert to fraction form
    83,767.13/180,655.88 = 180,655.88/x
  3. Step 3: Cross multiply
    83,767.13x = 180,655.88 × 180,655.88
  4. Step 4: Simplify right side
    83,767.13x = 32,636,545,172.02
  5. Step 5: Solve for x
    x = 32,636,545,172.02/83,767.13
  6. Step 6: Final answer
    x = 389,610.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.