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Finding the Third Proportional to 131,699,198 and 283,626,364

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Solution

The third proportional to 131,699,198 and 283,626,364 is: 610,815,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,699,198 : 283,626,364 = 283,626,364 : x
  2. Step 2: Convert to fraction form
    131,699,198/283,626,364 = 283,626,364/x
  3. Step 3: Cross multiply
    131,699,198x = 283,626,364 × 283,626,364
  4. Step 4: Simplify right side
    131,699,198x = 80,443,914,355,860,496
  5. Step 5: Solve for x
    x = 80,443,914,355,860,496/131,699,198
  6. Step 6: Final answer
    x = 610,815,521.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.