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Finding the Third Proportional to 80,794.13 and 165,597.75

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Solution

The third proportional to 80,794.13 and 165,597.75 is: 339,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,794.13 : 165,597.75 = 165,597.75 : x
  2. Step 2: Convert to fraction form
    80,794.13/165,597.75 = 165,597.75/x
  3. Step 3: Cross multiply
    80,794.13x = 165,597.75 × 165,597.75
  4. Step 4: Simplify right side
    80,794.13x = 27,422,614,805.06
  5. Step 5: Solve for x
    x = 27,422,614,805.06/80,794.13
  6. Step 6: Final answer
    x = 339,413.48

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.