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Finding the Third Proportional to 127,217,198 and 276,961,384

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Solution

The third proportional to 127,217,198 and 276,961,384 is: 602,965,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,217,198 : 276,961,384 = 276,961,384 : x
  2. Step 2: Convert to fraction form
    127,217,198/276,961,384 = 276,961,384/x
  3. Step 3: Cross multiply
    127,217,198x = 276,961,384 × 276,961,384
  4. Step 4: Simplify right side
    127,217,198x = 76,707,608,227,195,456
  5. Step 5: Solve for x
    x = 76,707,608,227,195,456/127,217,198
  6. Step 6: Final answer
    x = 602,965,710.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.