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Finding the Third Proportional to 48,413.25 and 99,499.50

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Solution

The third proportional to 48,413.25 and 99,499.50 is: 204,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413.25 : 99,499.50 = 99,499.50 : x
  2. Step 2: Convert to fraction form
    48,413.25/99,499.50 = 99,499.50/x
  3. Step 3: Cross multiply
    48,413.25x = 99,499.50 × 99,499.50
  4. Step 4: Simplify right side
    48,413.25x = 9,900,150,500.25
  5. Step 5: Solve for x
    x = 9,900,150,500.25/48,413.25
  6. Step 6: Final answer
    x = 204,492.58

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.