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Finding the Third Proportional to 110,511.84 and 166,690.41

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Solution

The third proportional to 110,511.84 and 166,690.41 is: 251,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,511.84 : 166,690.41 = 166,690.41 : x
  2. Step 2: Convert to fraction form
    110,511.84/166,690.41 = 166,690.41/x
  3. Step 3: Cross multiply
    110,511.84x = 166,690.41 × 166,690.41
  4. Step 4: Simplify right side
    110,511.84x = 27,785,691,535.79
  5. Step 5: Solve for x
    x = 27,785,691,535.79/110,511.84
  6. Step 6: Final answer
    x = 251,427.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.