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Finding the Third Proportional to 41,215 and 89,979

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Solution

The third proportional to 41,215 and 89,979 is: 196,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,215 : 89,979 = 89,979 : x
  2. Step 2: Convert to fraction form
    41,215/89,979 = 89,979/x
  3. Step 3: Cross multiply
    41,215x = 89,979 × 89,979
  4. Step 4: Simplify right side
    41,215x = 8,096,220,441
  5. Step 5: Solve for x
    x = 8,096,220,441/41,215
  6. Step 6: Final answer
    x = 196,438.69

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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.