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Finding the Third Proportional to 83,217.47 and 182,003.94

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Solution

The third proportional to 83,217.47 and 182,003.94 is: 398,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.47 : 182,003.94 = 182,003.94 : x
  2. Step 2: Convert to fraction form
    83,217.47/182,003.94 = 182,003.94/x
  3. Step 3: Cross multiply
    83,217.47x = 182,003.94 × 182,003.94
  4. Step 4: Simplify right side
    83,217.47x = 33,125,433,265.50
  5. Step 5: Solve for x
    x = 33,125,433,265.50/83,217.47
  6. Step 6: Final answer
    x = 398,058.65

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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.