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Finding the Third Proportional to 104,019.75 and 223,839.75

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Solution

The third proportional to 104,019.75 and 223,839.75 is: 481,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,019.75 : 223,839.75 = 223,839.75 : x
  2. Step 2: Convert to fraction form
    104,019.75/223,839.75 = 223,839.75/x
  3. Step 3: Cross multiply
    104,019.75x = 223,839.75 × 223,839.75
  4. Step 4: Simplify right side
    104,019.75x = 50,104,233,680.06
  5. Step 5: Solve for x
    x = 50,104,233,680.06/104,019.75
  6. Step 6: Final answer
    x = 481,680.00

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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.