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Finding the Third Proportional to 40,540.50 and 93,413.25

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Solution

The third proportional to 40,540.50 and 93,413.25 is: 215,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,540.50 : 93,413.25 = 93,413.25 : x
  2. Step 2: Convert to fraction form
    40,540.50/93,413.25 = 93,413.25/x
  3. Step 3: Cross multiply
    40,540.50x = 93,413.25 × 93,413.25
  4. Step 4: Simplify right side
    40,540.50x = 8,726,035,275.56
  5. Step 5: Solve for x
    x = 8,726,035,275.56/40,540.50
  6. Step 6: Final answer
    x = 215,242.42

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.