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Finding the Third Proportional to 100,565.75 and 149,108.88

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Solution

The third proportional to 100,565.75 and 149,108.88 is: 221,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.75 : 149,108.88 = 149,108.88 : x
  2. Step 2: Convert to fraction form
    100,565.75/149,108.88 = 149,108.88/x
  3. Step 3: Cross multiply
    100,565.75x = 149,108.88 × 149,108.88
  4. Step 4: Simplify right side
    100,565.75x = 22,233,456,603.77
  5. Step 5: Solve for x
    x = 22,233,456,603.77/100,565.75
  6. Step 6: Final answer
    x = 221,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.