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Finding the Third Proportional to 50,105.95 and 104,358.02

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Solution

The third proportional to 50,105.95 and 104,358.02 is: 217,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105.95 : 104,358.02 = 104,358.02 : x
  2. Step 2: Convert to fraction form
    50,105.95/104,358.02 = 104,358.02/x
  3. Step 3: Cross multiply
    50,105.95x = 104,358.02 × 104,358.02
  4. Step 4: Simplify right side
    50,105.95x = 10,890,597,055.78
  5. Step 5: Solve for x
    x = 10,890,597,055.78/50,105.95
  6. Step 6: Final answer
    x = 217,351.36

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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.