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Finding the Third Proportional to 49,180.13 and 105,372.38

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Solution

The third proportional to 49,180.13 and 105,372.38 is: 225,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,180.13 : 105,372.38 = 105,372.38 : x
  2. Step 2: Convert to fraction form
    49,180.13/105,372.38 = 105,372.38/x
  3. Step 3: Cross multiply
    49,180.13x = 105,372.38 × 105,372.38
  4. Step 4: Simplify right side
    49,180.13x = 11,103,337,413.14
  5. Step 5: Solve for x
    x = 11,103,337,413.14/49,180.13
  6. Step 6: Final answer
    x = 225,768.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.