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Finding the Third Proportional to 83,150.50 and 182,909

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Solution

The third proportional to 83,150.50 and 182,909 is: 402,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150.50 : 182,909 = 182,909 : x
  2. Step 2: Convert to fraction form
    83,150.50/182,909 = 182,909/x
  3. Step 3: Cross multiply
    83,150.50x = 182,909 × 182,909
  4. Step 4: Simplify right side
    83,150.50x = 33,455,702,281
  5. Step 5: Solve for x
    x = 33,455,702,281/83,150.50
  6. Step 6: Final answer
    x = 402,351.19

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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.