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Finding the Third Proportional to 38,296.88 and 83,131.88

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Solution

The third proportional to 38,296.88 and 83,131.88 is: 180,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.88 : 83,131.88 = 83,131.88 : x
  2. Step 2: Convert to fraction form
    38,296.88/83,131.88 = 83,131.88/x
  3. Step 3: Cross multiply
    38,296.88x = 83,131.88 × 83,131.88
  4. Step 4: Simplify right side
    38,296.88x = 6,910,908,641.02
  5. Step 5: Solve for x
    x = 6,910,908,641.02/38,296.88
  6. Step 6: Final answer
    x = 180,456.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.