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Finding the Third Proportional to 47,391.75 and 103,690.13

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Solution

The third proportional to 47,391.75 and 103,690.13 is: 226,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.75 : 103,690.13 = 103,690.13 : x
  2. Step 2: Convert to fraction form
    47,391.75/103,690.13 = 103,690.13/x
  3. Step 3: Cross multiply
    47,391.75x = 103,690.13 × 103,690.13
  4. Step 4: Simplify right side
    47,391.75x = 10,751,642,022.52
  5. Step 5: Solve for x
    x = 10,751,642,022.52/47,391.75
  6. Step 6: Final answer
    x = 226,867.38

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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.