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Finding the Third Proportional to 45,046.13 and 96,638.06

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Solution

The third proportional to 45,046.13 and 96,638.06 is: 207,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,046.13 : 96,638.06 = 96,638.06 : x
  2. Step 2: Convert to fraction form
    45,046.13/96,638.06 = 96,638.06/x
  3. Step 3: Cross multiply
    45,046.13x = 96,638.06 × 96,638.06
  4. Step 4: Simplify right side
    45,046.13x = 9,338,915,123.75
  5. Step 5: Solve for x
    x = 9,338,915,123.75/45,046.13
  6. Step 6: Final answer
    x = 207,318.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.