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Finding the Third Proportional to 96,631 and 217,012

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Solution

The third proportional to 96,631 and 217,012 is: 487,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,631 : 217,012 = 217,012 : x
  2. Step 2: Convert to fraction form
    96,631/217,012 = 217,012/x
  3. Step 3: Cross multiply
    96,631x = 217,012 × 217,012
  4. Step 4: Simplify right side
    96,631x = 47,094,208,144
  5. Step 5: Solve for x
    x = 47,094,208,144/96,631
  6. Step 6: Final answer
    x = 487,361.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.