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Finding the Third Proportional to 89,930 and 196,992

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Solution

The third proportional to 89,930 and 196,992 is: 431,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930 : 196,992 = 196,992 : x
  2. Step 2: Convert to fraction form
    89,930/196,992 = 196,992/x
  3. Step 3: Cross multiply
    89,930x = 196,992 × 196,992
  4. Step 4: Simplify right side
    89,930x = 38,805,848,064
  5. Step 5: Solve for x
    x = 38,805,848,064/89,930
  6. Step 6: Final answer
    x = 431,511.71

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Why These Related Problems?

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