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Finding the Third Proportional to 110,170.13 and 192,866.06

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Solution

The third proportional to 110,170.13 and 192,866.06 is: 337,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,170.13 : 192,866.06 = 192,866.06 : x
  2. Step 2: Convert to fraction form
    110,170.13/192,866.06 = 192,866.06/x
  3. Step 3: Cross multiply
    110,170.13x = 192,866.06 × 192,866.06
  4. Step 4: Simplify right side
    110,170.13x = 37,197,318,064.25
  5. Step 5: Solve for x
    x = 37,197,318,064.25/110,170.13
  6. Step 6: Final answer
    x = 337,635.25

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.