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Finding the Third Proportional to 47,440.69 and 103,614.19

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Solution

The third proportional to 47,440.69 and 103,614.19 is: 226,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,440.69 : 103,614.19 = 103,614.19 : x
  2. Step 2: Convert to fraction form
    47,440.69/103,614.19 = 103,614.19/x
  3. Step 3: Cross multiply
    47,440.69x = 103,614.19 × 103,614.19
  4. Step 4: Simplify right side
    47,440.69x = 10,735,899,851.29
  5. Step 5: Solve for x
    x = 10,735,899,851.29/47,440.69
  6. Step 6: Final answer
    x = 226,301.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.