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Finding the Third Proportional to 99,625 and 214,992

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Solution

The third proportional to 99,625 and 214,992 is: 463,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,625 : 214,992 = 214,992 : x
  2. Step 2: Convert to fraction form
    99,625/214,992 = 214,992/x
  3. Step 3: Cross multiply
    99,625x = 214,992 × 214,992
  4. Step 4: Simplify right side
    99,625x = 46,221,560,064
  5. Step 5: Solve for x
    x = 46,221,560,064/99,625
  6. Step 6: Final answer
    x = 463,955.43

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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.