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Finding the Third Proportional to 43,452.70 and 91,576.41

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Solution

The third proportional to 43,452.70 and 91,576.41 is: 192,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,452.70 : 91,576.41 = 91,576.41 : x
  2. Step 2: Convert to fraction form
    43,452.70/91,576.41 = 91,576.41/x
  3. Step 3: Cross multiply
    43,452.70x = 91,576.41 × 91,576.41
  4. Step 4: Simplify right side
    43,452.70x = 8,386,238,181.67
  5. Step 5: Solve for x
    x = 8,386,238,181.67/43,452.70
  6. Step 6: Final answer
    x = 192,996.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.