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Finding the Third Proportional to 83,149.03 and 182,394.28

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Solution

The third proportional to 83,149.03 and 182,394.28 is: 400,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.03 : 182,394.28 = 182,394.28 : x
  2. Step 2: Convert to fraction form
    83,149.03/182,394.28 = 182,394.28/x
  3. Step 3: Cross multiply
    83,149.03x = 182,394.28 × 182,394.28
  4. Step 4: Simplify right side
    83,149.03x = 33,267,673,832.70
  5. Step 5: Solve for x
    x = 33,267,673,832.70/83,149.03
  6. Step 6: Final answer
    x = 400,096.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.