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Finding the Third Proportional to 35,107.31 and 80,568.56

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Solution

The third proportional to 35,107.31 and 80,568.56 is: 184,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107.31 : 80,568.56 = 80,568.56 : x
  2. Step 2: Convert to fraction form
    35,107.31/80,568.56 = 80,568.56/x
  3. Step 3: Cross multiply
    35,107.31x = 80,568.56 × 80,568.56
  4. Step 4: Simplify right side
    35,107.31x = 6,491,293,263.32
  5. Step 5: Solve for x
    x = 6,491,293,263.32/35,107.31
  6. Step 6: Final answer
    x = 184,898.61

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.