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Finding the Third Proportional to 104,694.75 and 218,238.75

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Solution

The third proportional to 104,694.75 and 218,238.75 is: 454,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,694.75 : 218,238.75 = 218,238.75 : x
  2. Step 2: Convert to fraction form
    104,694.75/218,238.75 = 218,238.75/x
  3. Step 3: Cross multiply
    104,694.75x = 218,238.75 × 218,238.75
  4. Step 4: Simplify right side
    104,694.75x = 47,628,152,001.56
  5. Step 5: Solve for x
    x = 47,628,152,001.56/104,694.75
  6. Step 6: Final answer
    x = 454,923.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.