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Finding the Third Proportional to 84,677.63 and 182,720.25

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Solution

The third proportional to 84,677.63 and 182,720.25 is: 394,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,677.63 : 182,720.25 = 182,720.25 : x
  2. Step 2: Convert to fraction form
    84,677.63/182,720.25 = 182,720.25/x
  3. Step 3: Cross multiply
    84,677.63x = 182,720.25 × 182,720.25
  4. Step 4: Simplify right side
    84,677.63x = 33,386,689,760.06
  5. Step 5: Solve for x
    x = 33,386,689,760.06/84,677.63
  6. Step 6: Final answer
    x = 394,279.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.