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Finding the Third Proportional to 110,447.72 and 238,519.69

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Solution

The third proportional to 110,447.72 and 238,519.69 is: 515,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,447.72 : 238,519.69 = 238,519.69 : x
  2. Step 2: Convert to fraction form
    110,447.72/238,519.69 = 238,519.69/x
  3. Step 3: Cross multiply
    110,447.72x = 238,519.69 × 238,519.69
  4. Step 4: Simplify right side
    110,447.72x = 56,891,641,325.10
  5. Step 5: Solve for x
    x = 56,891,641,325.10/110,447.72
  6. Step 6: Final answer
    x = 515,100.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.