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Finding the Third Proportional to 101,999.25 and 223,296.75

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Solution

The third proportional to 101,999.25 and 223,296.75 is: 488,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999.25 : 223,296.75 = 223,296.75 : x
  2. Step 2: Convert to fraction form
    101,999.25/223,296.75 = 223,296.75/x
  3. Step 3: Cross multiply
    101,999.25x = 223,296.75 × 223,296.75
  4. Step 4: Simplify right side
    101,999.25x = 49,861,438,560.56
  5. Step 5: Solve for x
    x = 49,861,438,560.56/101,999.25
  6. Step 6: Final answer
    x = 488,841.23

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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.