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Finding the Third Proportional to 49,413.38 and 108,667.13

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Solution

The third proportional to 49,413.38 and 108,667.13 is: 238,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,413.38 : 108,667.13 = 108,667.13 : x
  2. Step 2: Convert to fraction form
    49,413.38/108,667.13 = 108,667.13/x
  3. Step 3: Cross multiply
    49,413.38x = 108,667.13 × 108,667.13
  4. Step 4: Simplify right side
    49,413.38x = 11,808,544,055.77
  5. Step 5: Solve for x
    x = 11,808,544,055.77/49,413.38
  6. Step 6: Final answer
    x = 238,974.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.