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Finding the Third Proportional to 83,962.13 and 180,919.13

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Solution

The third proportional to 83,962.13 and 180,919.13 is: 389,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,962.13 : 180,919.13 = 180,919.13 : x
  2. Step 2: Convert to fraction form
    83,962.13/180,919.13 = 180,919.13/x
  3. Step 3: Cross multiply
    83,962.13x = 180,919.13 × 180,919.13
  4. Step 4: Simplify right side
    83,962.13x = 32,731,729,790.77
  5. Step 5: Solve for x
    x = 32,731,729,790.77/83,962.13
  6. Step 6: Final answer
    x = 389,839.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.