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Finding the Third Proportional to 87,950.81 and 207,413.16

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Solution

The third proportional to 87,950.81 and 207,413.16 is: 489,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,950.81 : 207,413.16 = 207,413.16 : x
  2. Step 2: Convert to fraction form
    87,950.81/207,413.16 = 207,413.16/x
  3. Step 3: Cross multiply
    87,950.81x = 207,413.16 × 207,413.16
  4. Step 4: Simplify right side
    87,950.81x = 43,020,217,385.59
  5. Step 5: Solve for x
    x = 43,020,217,385.59/87,950.81
  6. Step 6: Final answer
    x = 489,139.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.