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Finding the Third Proportional to 104,093.25 and 223,974.38

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Solution

The third proportional to 104,093.25 and 223,974.38 is: 481,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,093.25 : 223,974.38 = 223,974.38 : x
  2. Step 2: Convert to fraction form
    104,093.25/223,974.38 = 223,974.38/x
  3. Step 3: Cross multiply
    104,093.25x = 223,974.38 × 223,974.38
  4. Step 4: Simplify right side
    104,093.25x = 50,164,520,656.64
  5. Step 5: Solve for x
    x = 50,164,520,656.64/104,093.25
  6. Step 6: Final answer
    x = 481,919.05

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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.