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Finding the Third Proportional to 95,448 and 215,646

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Solution

The third proportional to 95,448 and 215,646 is: 487,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,448 : 215,646 = 215,646 : x
  2. Step 2: Convert to fraction form
    95,448/215,646 = 215,646/x
  3. Step 3: Cross multiply
    95,448x = 215,646 × 215,646
  4. Step 4: Simplify right side
    95,448x = 46,503,197,316
  5. Step 5: Solve for x
    x = 46,503,197,316/95,448
  6. Step 6: Final answer
    x = 487,209.76

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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.