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Finding the Third Proportional to 91,646 and 206,939

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Solution

The third proportional to 91,646 and 206,939 is: 467,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,646 : 206,939 = 206,939 : x
  2. Step 2: Convert to fraction form
    91,646/206,939 = 206,939/x
  3. Step 3: Cross multiply
    91,646x = 206,939 × 206,939
  4. Step 4: Simplify right side
    91,646x = 42,823,749,721
  5. Step 5: Solve for x
    x = 42,823,749,721/91,646
  6. Step 6: Final answer
    x = 467,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.