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Finding the Third Proportional to 250,489,296 and 402,660,234

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Solution

The third proportional to 250,489,296 and 402,660,234 is: 647,274,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,489,296 : 402,660,234 = 402,660,234 : x
  2. Step 2: Convert to fraction form
    250,489,296/402,660,234 = 402,660,234/x
  3. Step 3: Cross multiply
    250,489,296x = 402,660,234 × 402,660,234
  4. Step 4: Simplify right side
    250,489,296x = 162,135,264,044,934,752
  5. Step 5: Solve for x
    x = 162,135,264,044,934,752/250,489,296
  6. Step 6: Final answer
    x = 647,274,221.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.