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Finding the Third Proportional to 43,413.50 and 94,682.50

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Solution

The third proportional to 43,413.50 and 94,682.50 is: 206,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,413.50 : 94,682.50 = 94,682.50 : x
  2. Step 2: Convert to fraction form
    43,413.50/94,682.50 = 94,682.50/x
  3. Step 3: Cross multiply
    43,413.50x = 94,682.50 × 94,682.50
  4. Step 4: Simplify right side
    43,413.50x = 8,964,775,806.25
  5. Step 5: Solve for x
    x = 8,964,775,806.25/43,413.50
  6. Step 6: Final answer
    x = 206,497.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.