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Finding the Third Proportional to 40,998 and 89,211

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Solution

The third proportional to 40,998 and 89,211 is: 194,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,998 : 89,211 = 89,211 : x
  2. Step 2: Convert to fraction form
    40,998/89,211 = 89,211/x
  3. Step 3: Cross multiply
    40,998x = 89,211 × 89,211
  4. Step 4: Simplify right side
    40,998x = 7,958,602,521
  5. Step 5: Solve for x
    x = 7,958,602,521/40,998
  6. Step 6: Final answer
    x = 194,121.73

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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.