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Finding the Third Proportional to 104,105.25 and 223,994.25

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Solution

The third proportional to 104,105.25 and 223,994.25 is: 481,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,105.25 : 223,994.25 = 223,994.25 : x
  2. Step 2: Convert to fraction form
    104,105.25/223,994.25 = 223,994.25/x
  3. Step 3: Cross multiply
    104,105.25x = 223,994.25 × 223,994.25
  4. Step 4: Simplify right side
    104,105.25x = 50,173,424,033.06
  5. Step 5: Solve for x
    x = 50,173,424,033.06/104,105.25
  6. Step 6: Final answer
    x = 481,949.03

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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.