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Finding the Third Proportional to 47,260.13 and 103,837.78

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Solution

The third proportional to 47,260.13 and 103,837.78 is: 228,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,260.13 : 103,837.78 = 103,837.78 : x
  2. Step 2: Convert to fraction form
    47,260.13/103,837.78 = 103,837.78/x
  3. Step 3: Cross multiply
    47,260.13x = 103,837.78 × 103,837.78
  4. Step 4: Simplify right side
    47,260.13x = 10,782,284,814.92
  5. Step 5: Solve for x
    x = 10,782,284,814.92/47,260.13
  6. Step 6: Final answer
    x = 228,147.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.