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Finding the Third Proportional to 205,270,936 and 446,679,856

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Solution

The third proportional to 205,270,936 and 446,679,856 is: 971,997,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,270,936 : 446,679,856 = 446,679,856 : x
  2. Step 2: Convert to fraction form
    205,270,936/446,679,856 = 446,679,856/x
  3. Step 3: Cross multiply
    205,270,936x = 446,679,856 × 446,679,856
  4. Step 4: Simplify right side
    205,270,936x = 199,522,893,756,180,736
  5. Step 5: Solve for x
    x = 199,522,893,756,180,736/205,270,936
  6. Step 6: Final answer
    x = 971,997,778.37

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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.