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Finding the Third Proportional to 95,291 and 204,937

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Solution

The third proportional to 95,291 and 204,937 is: 440,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,291 : 204,937 = 204,937 : x
  2. Step 2: Convert to fraction form
    95,291/204,937 = 204,937/x
  3. Step 3: Cross multiply
    95,291x = 204,937 × 204,937
  4. Step 4: Simplify right side
    95,291x = 41,999,173,969
  5. Step 5: Solve for x
    x = 41,999,173,969/95,291
  6. Step 6: Final answer
    x = 440,746.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.