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Finding the Third Proportional to 110,489.06 and 234,122.91

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Solution

The third proportional to 110,489.06 and 234,122.91 is: 496,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489.06 : 234,122.91 = 234,122.91 : x
  2. Step 2: Convert to fraction form
    110,489.06/234,122.91 = 234,122.91/x
  3. Step 3: Cross multiply
    110,489.06x = 234,122.91 × 234,122.91
  4. Step 4: Simplify right side
    110,489.06x = 54,813,535,230.95
  5. Step 5: Solve for x
    x = 54,813,535,230.95/110,489.06
  6. Step 6: Final answer
    x = 496,099.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.