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Finding the Third Proportional to 104,099 and 223,984

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Solution

The third proportional to 104,099 and 223,984 is: 481,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,099 : 223,984 = 223,984 : x
  2. Step 2: Convert to fraction form
    104,099/223,984 = 223,984/x
  3. Step 3: Cross multiply
    104,099x = 223,984 × 223,984
  4. Step 4: Simplify right side
    104,099x = 50,168,832,256
  5. Step 5: Solve for x
    x = 50,168,832,256/104,099
  6. Step 6: Final answer
    x = 481,933.85

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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.