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Finding the Third Proportional to 89,996 and 196,939

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Solution

The third proportional to 89,996 and 196,939 is: 430,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,996 : 196,939 = 196,939 : x
  2. Step 2: Convert to fraction form
    89,996/196,939 = 196,939/x
  3. Step 3: Cross multiply
    89,996x = 196,939 × 196,939
  4. Step 4: Simplify right side
    89,996x = 38,784,969,721
  5. Step 5: Solve for x
    x = 38,784,969,721/89,996
  6. Step 6: Final answer
    x = 430,963.26

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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.