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Finding the Third Proportional to 83,149.88 and 182,395.88

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Solution

The third proportional to 83,149.88 and 182,395.88 is: 400,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.88 : 182,395.88 = 182,395.88 : x
  2. Step 2: Convert to fraction form
    83,149.88/182,395.88 = 182,395.88/x
  3. Step 3: Cross multiply
    83,149.88x = 182,395.88 × 182,395.88
  4. Step 4: Simplify right side
    83,149.88x = 33,268,255,217.02
  5. Step 5: Solve for x
    x = 33,268,255,217.02/83,149.88
  6. Step 6: Final answer
    x = 400,099.88

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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.