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Finding the Third Proportional to 47,474.44 and 104,007.38

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Solution

The third proportional to 47,474.44 and 104,007.38 is: 227,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.44 : 104,007.38 = 104,007.38 : x
  2. Step 2: Convert to fraction form
    47,474.44/104,007.38 = 104,007.38/x
  3. Step 3: Cross multiply
    47,474.44x = 104,007.38 × 104,007.38
  4. Step 4: Simplify right side
    47,474.44x = 10,817,534,054.39
  5. Step 5: Solve for x
    x = 10,817,534,054.39/47,474.44
  6. Step 6: Final answer
    x = 227,860.18

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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.