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Finding the Third Proportional to 50,851.31 and 110,743.22

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Solution

The third proportional to 50,851.31 and 110,743.22 is: 241,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.31 : 110,743.22 = 110,743.22 : x
  2. Step 2: Convert to fraction form
    50,851.31/110,743.22 = 110,743.22/x
  3. Step 3: Cross multiply
    50,851.31x = 110,743.22 × 110,743.22
  4. Step 4: Simplify right side
    50,851.31x = 12,264,059,850.22
  5. Step 5: Solve for x
    x = 12,264,059,850.22/50,851.31
  6. Step 6: Final answer
    x = 241,174.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.