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Finding the Third Proportional to 47,650.78 and 101,634.75

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Solution

The third proportional to 47,650.78 and 101,634.75 is: 216,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650.78 : 101,634.75 = 101,634.75 : x
  2. Step 2: Convert to fraction form
    47,650.78/101,634.75 = 101,634.75/x
  3. Step 3: Cross multiply
    47,650.78x = 101,634.75 × 101,634.75
  4. Step 4: Simplify right side
    47,650.78x = 10,329,622,407.56
  5. Step 5: Solve for x
    x = 10,329,622,407.56/47,650.78
  6. Step 6: Final answer
    x = 216,777.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.