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Finding the Third Proportional to 89,413.88 and 182,928.38

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Solution

The third proportional to 89,413.88 and 182,928.38 is: 374,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,413.88 : 182,928.38 = 182,928.38 : x
  2. Step 2: Convert to fraction form
    89,413.88/182,928.38 = 182,928.38/x
  3. Step 3: Cross multiply
    89,413.88x = 182,928.38 × 182,928.38
  4. Step 4: Simplify right side
    89,413.88x = 33,462,790,380.14
  5. Step 5: Solve for x
    x = 33,462,790,380.14/89,413.88
  6. Step 6: Final answer
    x = 374,246.06

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.