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Finding the Third Proportional to 95,406 and 215,151

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Solution

The third proportional to 95,406 and 215,151 is: 485,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,406 : 215,151 = 215,151 : x
  2. Step 2: Convert to fraction form
    95,406/215,151 = 215,151/x
  3. Step 3: Cross multiply
    95,406x = 215,151 × 215,151
  4. Step 4: Simplify right side
    95,406x = 46,289,952,801
  5. Step 5: Solve for x
    x = 46,289,952,801/95,406
  6. Step 6: Final answer
    x = 485,189.12

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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.