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Finding the Third Proportional to 204,247,061,910 and 446,969,793,105

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Solution

The third proportional to 204,247,061,910 and 446,969,793,105 is: 978,138,897,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,247,061,910 : 446,969,793,105 = 446,969,793,105 : x
  2. Step 2: Convert to fraction form
    204,247,061,910/446,969,793,105 = 446,969,793,105/x
  3. Step 3: Cross multiply
    204,247,061,910x = 446,969,793,105 × 446,969,793,105
  4. Step 4: Simplify right side
    204,247,061,910x = 199,781,995,948,326,497,812,480
  5. Step 5: Solve for x
    x = 199,781,995,948,326,497,812,480/204,247,061,910
  6. Step 6: Final answer
    x = 978,138,897,470.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.