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Finding the Third Proportional to 89,812 and 188,921

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Solution

The third proportional to 89,812 and 188,921 is: 397,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,812 : 188,921 = 188,921 : x
  2. Step 2: Convert to fraction form
    89,812/188,921 = 188,921/x
  3. Step 3: Cross multiply
    89,812x = 188,921 × 188,921
  4. Step 4: Simplify right side
    89,812x = 35,691,144,241
  5. Step 5: Solve for x
    x = 35,691,144,241/89,812
  6. Step 6: Final answer
    x = 397,398.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.