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Finding the Third Proportional to 41,632.73 and 91,174.36

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Solution

The third proportional to 41,632.73 and 91,174.36 is: 199,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632.73 : 91,174.36 = 91,174.36 : x
  2. Step 2: Convert to fraction form
    41,632.73/91,174.36 = 91,174.36/x
  3. Step 3: Cross multiply
    41,632.73x = 91,174.36 × 91,174.36
  4. Step 4: Simplify right side
    41,632.73x = 8,312,763,807.44
  5. Step 5: Solve for x
    x = 8,312,763,807.44/41,632.73
  6. Step 6: Final answer
    x = 199,668.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.