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Finding the Third Proportional to 83,861.50 and 182,486

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Solution

The third proportional to 83,861.50 and 182,486 is: 397,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,861.50 : 182,486 = 182,486 : x
  2. Step 2: Convert to fraction form
    83,861.50/182,486 = 182,486/x
  3. Step 3: Cross multiply
    83,861.50x = 182,486 × 182,486
  4. Step 4: Simplify right side
    83,861.50x = 33,301,140,196
  5. Step 5: Solve for x
    x = 33,301,140,196/83,861.50
  6. Step 6: Final answer
    x = 397,096.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.