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Finding the Third Proportional to 110,853.56 and 171,201.09

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Solution

The third proportional to 110,853.56 and 171,201.09 is: 264,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,853.56 : 171,201.09 = 171,201.09 : x
  2. Step 2: Convert to fraction form
    110,853.56/171,201.09 = 171,201.09/x
  3. Step 3: Cross multiply
    110,853.56x = 171,201.09 × 171,201.09
  4. Step 4: Simplify right side
    110,853.56x = 29,309,814,501.20
  5. Step 5: Solve for x
    x = 29,309,814,501.20/110,853.56
  6. Step 6: Final answer
    x = 264,401.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.