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Finding the Third Proportional to 203,877,674,280 and 283,475,609,814

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Solution

The third proportional to 203,877,674,280 and 283,475,609,814 is: 394,150,176,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877,674,280 : 283,475,609,814 = 283,475,609,814 : x
  2. Step 2: Convert to fraction form
    203,877,674,280/283,475,609,814 = 283,475,609,814/x
  3. Step 3: Cross multiply
    203,877,674,280x = 283,475,609,814 × 283,475,609,814
  4. Step 4: Simplify right side
    203,877,674,280x = 80,358,421,359,419,166,031,872
  5. Step 5: Solve for x
    x = 80,358,421,359,419,166,031,872/203,877,674,280
  6. Step 6: Final answer
    x = 394,150,176,782.27

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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.