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Finding the Third Proportional to 95,438 and 215,621

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Solution

The third proportional to 95,438 and 215,621 is: 487,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,438 : 215,621 = 215,621 : x
  2. Step 2: Convert to fraction form
    95,438/215,621 = 215,621/x
  3. Step 3: Cross multiply
    95,438x = 215,621 × 215,621
  4. Step 4: Simplify right side
    95,438x = 46,492,415,641
  5. Step 5: Solve for x
    x = 46,492,415,641/95,438
  6. Step 6: Final answer
    x = 487,147.84

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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.