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Finding the Third Proportional to 96,944 and 205,608

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Solution

The third proportional to 96,944 and 205,608 is: 436,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,944 : 205,608 = 205,608 : x
  2. Step 2: Convert to fraction form
    96,944/205,608 = 205,608/x
  3. Step 3: Cross multiply
    96,944x = 205,608 × 205,608
  4. Step 4: Simplify right side
    96,944x = 42,274,649,664
  5. Step 5: Solve for x
    x = 42,274,649,664/96,944
  6. Step 6: Final answer
    x = 436,072.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.