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Finding the Third Proportional to 95,436 and 215,616

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Solution

The third proportional to 95,436 and 215,616 is: 487,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,436 : 215,616 = 215,616 : x
  2. Step 2: Convert to fraction form
    95,436/215,616 = 215,616/x
  3. Step 3: Cross multiply
    95,436x = 215,616 × 215,616
  4. Step 4: Simplify right side
    95,436x = 46,490,259,456
  5. Step 5: Solve for x
    x = 46,490,259,456/95,436
  6. Step 6: Final answer
    x = 487,135.46

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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.