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Finding the Third Proportional to 110,208.56 and 155,198.06

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Solution

The third proportional to 110,208.56 and 155,198.06 is: 218,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,208.56 : 155,198.06 = 155,198.06 : x
  2. Step 2: Convert to fraction form
    110,208.56/155,198.06 = 155,198.06/x
  3. Step 3: Cross multiply
    110,208.56x = 155,198.06 × 155,198.06
  4. Step 4: Simplify right side
    110,208.56x = 24,086,438,603.75
  5. Step 5: Solve for x
    x = 24,086,438,603.75/110,208.56
  6. Step 6: Final answer
    x = 218,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.