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Finding the Third Proportional to 41,230 and 89,840

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Solution

The third proportional to 41,230 and 89,840 is: 195,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,230 : 89,840 = 89,840 : x
  2. Step 2: Convert to fraction form
    41,230/89,840 = 89,840/x
  3. Step 3: Cross multiply
    41,230x = 89,840 × 89,840
  4. Step 4: Simplify right side
    41,230x = 8,071,225,600
  5. Step 5: Solve for x
    x = 8,071,225,600/41,230
  6. Step 6: Final answer
    x = 195,760.99

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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.