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Finding the Third Proportional to 101,999.25 and 222,906.94

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Solution

The third proportional to 101,999.25 and 222,906.94 is: 487,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999.25 : 222,906.94 = 222,906.94 : x
  2. Step 2: Convert to fraction form
    101,999.25/222,906.94 = 222,906.94/x
  3. Step 3: Cross multiply
    101,999.25x = 222,906.94 × 222,906.94
  4. Step 4: Simplify right side
    101,999.25x = 49,687,502,785.63
  5. Step 5: Solve for x
    x = 49,687,502,785.63/101,999.25
  6. Step 6: Final answer
    x = 487,135.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.