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Finding the Third Proportional to 83,237.63 and 182,044.13

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Solution

The third proportional to 83,237.63 and 182,044.13 is: 398,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.63 : 182,044.13 = 182,044.13 : x
  2. Step 2: Convert to fraction form
    83,237.63/182,044.13 = 182,044.13/x
  3. Step 3: Cross multiply
    83,237.63x = 182,044.13 × 182,044.13
  4. Step 4: Simplify right side
    83,237.63x = 33,140,063,447.02
  5. Step 5: Solve for x
    x = 33,140,063,447.02/83,237.63
  6. Step 6: Final answer
    x = 398,138.02

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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.