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Finding the Third Proportional to 96,274,944 and 200,512,512

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Solution

The third proportional to 96,274,944 and 200,512,512 is: 417,608,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274,944 : 200,512,512 = 200,512,512 : x
  2. Step 2: Convert to fraction form
    96,274,944/200,512,512 = 200,512,512/x
  3. Step 3: Cross multiply
    96,274,944x = 200,512,512 × 200,512,512
  4. Step 4: Simplify right side
    96,274,944x = 40,205,267,468,550,144
  5. Step 5: Solve for x
    x = 40,205,267,468,550,144/96,274,944
  6. Step 6: Final answer
    x = 417,608,837.75

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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.