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Finding the Third Proportional to 41,099 and 89,808

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Solution

The third proportional to 41,099 and 89,808 is: 196,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,099 : 89,808 = 89,808 : x
  2. Step 2: Convert to fraction form
    41,099/89,808 = 89,808/x
  3. Step 3: Cross multiply
    41,099x = 89,808 × 89,808
  4. Step 4: Simplify right side
    41,099x = 8,065,476,864
  5. Step 5: Solve for x
    x = 8,065,476,864/41,099
  6. Step 6: Final answer
    x = 196,245.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.