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Finding the Third Proportional to 89,992 and 196,934

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Solution

The third proportional to 89,992 and 196,934 is: 430,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,992 : 196,934 = 196,934 : x
  2. Step 2: Convert to fraction form
    89,992/196,934 = 196,934/x
  3. Step 3: Cross multiply
    89,992x = 196,934 × 196,934
  4. Step 4: Simplify right side
    89,992x = 38,783,000,356
  5. Step 5: Solve for x
    x = 38,783,000,356/89,992
  6. Step 6: Final answer
    x = 430,960.53

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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.