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Finding the Third Proportional to 50,647.78 and 108,648.84

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Solution

The third proportional to 50,647.78 and 108,648.84 is: 233,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.78 : 108,648.84 = 108,648.84 : x
  2. Step 2: Convert to fraction form
    50,647.78/108,648.84 = 108,648.84/x
  3. Step 3: Cross multiply
    50,647.78x = 108,648.84 × 108,648.84
  4. Step 4: Simplify right side
    50,647.78x = 11,804,571,248.21
  5. Step 5: Solve for x
    x = 11,804,571,248.21/50,647.78
  6. Step 6: Final answer
    x = 233,071.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.