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Finding the Third Proportional to 44,593 and 95,413.50

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Solution

The third proportional to 44,593 and 95,413.50 is: 204,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,593 : 95,413.50 = 95,413.50 : x
  2. Step 2: Convert to fraction form
    44,593/95,413.50 = 95,413.50/x
  3. Step 3: Cross multiply
    44,593x = 95,413.50 × 95,413.50
  4. Step 4: Simplify right side
    44,593x = 9,103,735,982.25
  5. Step 5: Solve for x
    x = 9,103,735,982.25/44,593
  6. Step 6: Final answer
    x = 204,151.68

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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.