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Finding the Third Proportional to 41,443.25 and 89,438.50

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Solution

The third proportional to 41,443.25 and 89,438.50 is: 193,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,443.25 : 89,438.50 = 89,438.50 : x
  2. Step 2: Convert to fraction form
    41,443.25/89,438.50 = 89,438.50/x
  3. Step 3: Cross multiply
    41,443.25x = 89,438.50 × 89,438.50
  4. Step 4: Simplify right side
    41,443.25x = 7,999,245,282.25
  5. Step 5: Solve for x
    x = 7,999,245,282.25/41,443.25
  6. Step 6: Final answer
    x = 193,016.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.