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Finding the Third Proportional to 41,191 and 89,936

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Solution

The third proportional to 41,191 and 89,936 is: 196,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 89,936 = 89,936 : x
  2. Step 2: Convert to fraction form
    41,191/89,936 = 89,936/x
  3. Step 3: Cross multiply
    41,191x = 89,936 × 89,936
  4. Step 4: Simplify right side
    41,191x = 8,088,484,096
  5. Step 5: Solve for x
    x = 8,088,484,096/41,191
  6. Step 6: Final answer
    x = 196,365.32

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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.