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Finding the Third Proportional to 94,413.09 and 199,761.19

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Solution

The third proportional to 94,413.09 and 199,761.19 is: 422,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,413.09 : 199,761.19 = 199,761.19 : x
  2. Step 2: Convert to fraction form
    94,413.09/199,761.19 = 199,761.19/x
  3. Step 3: Cross multiply
    94,413.09x = 199,761.19 × 199,761.19
  4. Step 4: Simplify right side
    94,413.09x = 39,904,532,031.41
  5. Step 5: Solve for x
    x = 39,904,532,031.41/94,413.09
  6. Step 6: Final answer
    x = 422,658.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.