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Finding the Third Proportional to 98,121 and 211,941

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Solution

The third proportional to 98,121 and 211,941 is: 457,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121 : 211,941 = 211,941 : x
  2. Step 2: Convert to fraction form
    98,121/211,941 = 211,941/x
  3. Step 3: Cross multiply
    98,121x = 211,941 × 211,941
  4. Step 4: Simplify right side
    98,121x = 44,918,987,481
  5. Step 5: Solve for x
    x = 44,918,987,481/98,121
  6. Step 6: Final answer
    x = 457,791.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.