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Finding the Third Proportional to 47,872.69 and 104,334.75

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Solution

The third proportional to 47,872.69 and 104,334.75 is: 227,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.69 : 104,334.75 = 104,334.75 : x
  2. Step 2: Convert to fraction form
    47,872.69/104,334.75 = 104,334.75/x
  3. Step 3: Cross multiply
    47,872.69x = 104,334.75 × 104,334.75
  4. Step 4: Simplify right side
    47,872.69x = 10,885,740,057.56
  5. Step 5: Solve for x
    x = 10,885,740,057.56/47,872.69
  6. Step 6: Final answer
    x = 227,389.37

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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.