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Finding the Third Proportional to 50,291.44 and 104,715.56

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Solution

The third proportional to 50,291.44 and 104,715.56 is: 218,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,291.44 : 104,715.56 = 104,715.56 : x
  2. Step 2: Convert to fraction form
    50,291.44/104,715.56 = 104,715.56/x
  3. Step 3: Cross multiply
    50,291.44x = 104,715.56 × 104,715.56
  4. Step 4: Simplify right side
    50,291.44x = 10,965,349,029.69
  5. Step 5: Solve for x
    x = 10,965,349,029.69/50,291.44
  6. Step 6: Final answer
    x = 218,036.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.