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Finding the Third Proportional to 83,265.47 and 182,272.78

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Solution

The third proportional to 83,265.47 and 182,272.78 is: 399,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.47 : 182,272.78 = 182,272.78 : x
  2. Step 2: Convert to fraction form
    83,265.47/182,272.78 = 182,272.78/x
  3. Step 3: Cross multiply
    83,265.47x = 182,272.78 × 182,272.78
  4. Step 4: Simplify right side
    83,265.47x = 33,223,366,784.61
  5. Step 5: Solve for x
    x = 33,223,366,784.61/83,265.47
  6. Step 6: Final answer
    x = 399,005.34

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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.