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Finding the Third Proportional to 268,613,970 and 584,520,198

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Solution

The third proportional to 268,613,970 and 584,520,198 is: 1,271,951,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,613,970 : 584,520,198 = 584,520,198 : x
  2. Step 2: Convert to fraction form
    268,613,970/584,520,198 = 584,520,198/x
  3. Step 3: Cross multiply
    268,613,970x = 584,520,198 × 584,520,198
  4. Step 4: Simplify right side
    268,613,970x = 341,663,861,869,959,232
  5. Step 5: Solve for x
    x = 341,663,861,869,959,232/268,613,970
  6. Step 6: Final answer
    x = 1,271,951,201.46

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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.