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Finding the Third Proportional to 103,911.75 and 223,716.38

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Solution

The third proportional to 103,911.75 and 223,716.38 is: 481,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,911.75 : 223,716.38 = 223,716.38 : x
  2. Step 2: Convert to fraction form
    103,911.75/223,716.38 = 223,716.38/x
  3. Step 3: Cross multiply
    103,911.75x = 223,716.38 × 223,716.38
  4. Step 4: Simplify right side
    103,911.75x = 50,049,016,443.14
  5. Step 5: Solve for x
    x = 50,049,016,443.14/103,911.75
  6. Step 6: Final answer
    x = 481,649.25

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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.