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Finding the Third Proportional to 104,189 and 223,909

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Solution

The third proportional to 104,189 and 223,909 is: 481,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,189 : 223,909 = 223,909 : x
  2. Step 2: Convert to fraction form
    104,189/223,909 = 223,909/x
  3. Step 3: Cross multiply
    104,189x = 223,909 × 223,909
  4. Step 4: Simplify right side
    104,189x = 50,135,240,281
  5. Step 5: Solve for x
    x = 50,135,240,281/104,189
  6. Step 6: Final answer
    x = 481,195.14

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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.