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Finding the Third Proportional to 95,294 and 206,992

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Solution

The third proportional to 95,294 and 206,992 is: 449,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,294 : 206,992 = 206,992 : x
  2. Step 2: Convert to fraction form
    95,294/206,992 = 206,992/x
  3. Step 3: Cross multiply
    95,294x = 206,992 × 206,992
  4. Step 4: Simplify right side
    95,294x = 42,845,688,064
  5. Step 5: Solve for x
    x = 42,845,688,064/95,294
  6. Step 6: Final answer
    x = 449,615.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.