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Finding the Third Proportional to 83,387.81 and 183,384

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Solution

The third proportional to 83,387.81 and 183,384 is: 403,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,387.81 : 183,384 = 183,384 : x
  2. Step 2: Convert to fraction form
    83,387.81/183,384 = 183,384/x
  3. Step 3: Cross multiply
    83,387.81x = 183,384 × 183,384
  4. Step 4: Simplify right side
    83,387.81x = 33,629,691,456
  5. Step 5: Solve for x
    x = 33,629,691,456/83,387.81
  6. Step 6: Final answer
    x = 403,292.64

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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.