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Finding the Third Proportional to 89,925 and 196,981

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Solution

The third proportional to 89,925 and 196,981 is: 431,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,925 : 196,981 = 196,981 : x
  2. Step 2: Convert to fraction form
    89,925/196,981 = 196,981/x
  3. Step 3: Cross multiply
    89,925x = 196,981 × 196,981
  4. Step 4: Simplify right side
    89,925x = 38,801,514,361
  5. Step 5: Solve for x
    x = 38,801,514,361/89,925
  6. Step 6: Final answer
    x = 431,487.51

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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.