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Finding the Third Proportional to 203,877,674,208 and 283,475,609,472

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Solution

The third proportional to 203,877,674,208 and 283,475,609,472 is: 394,150,175,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877,674,208 : 283,475,609,472 = 283,475,609,472 : x
  2. Step 2: Convert to fraction form
    203,877,674,208/283,475,609,472 = 283,475,609,472/x
  3. Step 3: Cross multiply
    203,877,674,208x = 283,475,609,472 × 283,475,609,472
  4. Step 4: Simplify right side
    203,877,674,208x = 80,358,421,165,521,860,820,992
  5. Step 5: Solve for x
    x = 80,358,421,165,521,860,820,992/203,877,674,208
  6. Step 6: Final answer
    x = 394,150,175,970.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.