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Finding the Third Proportional to 96,963 and 202,227

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Solution

The third proportional to 96,963 and 202,227 is: 421,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963 : 202,227 = 202,227 : x
  2. Step 2: Convert to fraction form
    96,963/202,227 = 202,227/x
  3. Step 3: Cross multiply
    96,963x = 202,227 × 202,227
  4. Step 4: Simplify right side
    96,963x = 40,895,759,529
  5. Step 5: Solve for x
    x = 40,895,759,529/96,963
  6. Step 6: Final answer
    x = 421,766.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.