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Finding the Third Proportional to 100,845 and 217,242

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Solution

The third proportional to 100,845 and 217,242 is: 467,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,845 : 217,242 = 217,242 : x
  2. Step 2: Convert to fraction form
    100,845/217,242 = 217,242/x
  3. Step 3: Cross multiply
    100,845x = 217,242 × 217,242
  4. Step 4: Simplify right side
    100,845x = 47,194,086,564
  5. Step 5: Solve for x
    x = 47,194,086,564/100,845
  6. Step 6: Final answer
    x = 467,986.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.