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Finding the Third Proportional to 83,913.75 and 182,436.75

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Solution

The third proportional to 83,913.75 and 182,436.75 is: 396,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913.75 : 182,436.75 = 182,436.75 : x
  2. Step 2: Convert to fraction form
    83,913.75/182,436.75 = 182,436.75/x
  3. Step 3: Cross multiply
    83,913.75x = 182,436.75 × 182,436.75
  4. Step 4: Simplify right side
    83,913.75x = 33,283,167,750.56
  5. Step 5: Solve for x
    x = 33,283,167,750.56/83,913.75
  6. Step 6: Final answer
    x = 396,635.45

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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.