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Finding the Third Proportional to 88,072.31 and 196,314.75

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Solution

The third proportional to 88,072.31 and 196,314.75 is: 437,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,072.31 : 196,314.75 = 196,314.75 : x
  2. Step 2: Convert to fraction form
    88,072.31/196,314.75 = 196,314.75/x
  3. Step 3: Cross multiply
    88,072.31x = 196,314.75 × 196,314.75
  4. Step 4: Simplify right side
    88,072.31x = 38,539,481,067.56
  5. Step 5: Solve for x
    x = 38,539,481,067.56/88,072.31
  6. Step 6: Final answer
    x = 437,589.07

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.