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Finding the Third Proportional to 77,952.98 and 168,379.97

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Solution

The third proportional to 77,952.98 and 168,379.97 is: 363,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.98 : 168,379.97 = 168,379.97 : x
  2. Step 2: Convert to fraction form
    77,952.98/168,379.97 = 168,379.97/x
  3. Step 3: Cross multiply
    77,952.98x = 168,379.97 × 168,379.97
  4. Step 4: Simplify right side
    77,952.98x = 28,351,813,876.25
  5. Step 5: Solve for x
    x = 28,351,813,876.25/77,952.98
  6. Step 6: Final answer
    x = 363,704.02

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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.