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Finding the Third Proportional to 83,087.02 and 182,781.56

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Solution

The third proportional to 83,087.02 and 182,781.56 is: 402,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087.02 : 182,781.56 = 182,781.56 : x
  2. Step 2: Convert to fraction form
    83,087.02/182,781.56 = 182,781.56/x
  3. Step 3: Cross multiply
    83,087.02x = 182,781.56 × 182,781.56
  4. Step 4: Simplify right side
    83,087.02x = 33,409,099,589.94
  5. Step 5: Solve for x
    x = 33,409,099,589.94/83,087.02
  6. Step 6: Final answer
    x = 402,097.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.