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Finding the Third Proportional to 44,614 and 96,193

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Solution

The third proportional to 44,614 and 96,193 is: 207,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,614 : 96,193 = 96,193 : x
  2. Step 2: Convert to fraction form
    44,614/96,193 = 96,193/x
  3. Step 3: Cross multiply
    44,614x = 96,193 × 96,193
  4. Step 4: Simplify right side
    44,614x = 9,253,093,249
  5. Step 5: Solve for x
    x = 9,253,093,249/44,614
  6. Step 6: Final answer
    x = 207,403.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.