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Finding the Third Proportional to 83,143.97 and 182,893.57

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Solution

The third proportional to 83,143.97 and 182,893.57 is: 402,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.97 : 182,893.57 = 182,893.57 : x
  2. Step 2: Convert to fraction form
    83,143.97/182,893.57 = 182,893.57/x
  3. Step 3: Cross multiply
    83,143.97x = 182,893.57 × 182,893.57
  4. Step 4: Simplify right side
    83,143.97x = 33,450,058,061.65
  5. Step 5: Solve for x
    x = 33,450,058,061.65/83,143.97
  6. Step 6: Final answer
    x = 402,314.91

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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.