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Finding the Third Proportional to 83,909.04 and 182,426.55

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Solution

The third proportional to 83,909.04 and 182,426.55 is: 396,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.04 : 182,426.55 = 182,426.55 : x
  2. Step 2: Convert to fraction form
    83,909.04/182,426.55 = 182,426.55/x
  3. Step 3: Cross multiply
    83,909.04x = 182,426.55 × 182,426.55
  4. Step 4: Simplify right side
    83,909.04x = 33,279,447,855.15
  5. Step 5: Solve for x
    x = 33,279,447,855.15/83,909.04
  6. Step 6: Final answer
    x = 396,613.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.