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Finding the Third Proportional to 83,931.75 and 180,286.88

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Solution

The third proportional to 83,931.75 and 180,286.88 is: 387,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,931.75 : 180,286.88 = 180,286.88 : x
  2. Step 2: Convert to fraction form
    83,931.75/180,286.88 = 180,286.88/x
  3. Step 3: Cross multiply
    83,931.75x = 180,286.88 × 180,286.88
  4. Step 4: Simplify right side
    83,931.75x = 32,503,357,297.27
  5. Step 5: Solve for x
    x = 32,503,357,297.27/83,931.75
  6. Step 6: Final answer
    x = 387,259.38

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