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Finding the Third Proportional to 95,455 and 215,663

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Solution

The third proportional to 95,455 and 215,663 is: 487,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,455 : 215,663 = 215,663 : x
  2. Step 2: Convert to fraction form
    95,455/215,663 = 215,663/x
  3. Step 3: Cross multiply
    95,455x = 215,663 × 215,663
  4. Step 4: Simplify right side
    95,455x = 46,510,529,569
  5. Step 5: Solve for x
    x = 46,510,529,569/95,455
  6. Step 6: Final answer
    x = 487,250.85

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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.