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Finding the Third Proportional to 205,746,896 and 313,443,861

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Solution

The third proportional to 205,746,896 and 313,443,861 is: 477,514,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746,896 : 313,443,861 = 313,443,861 : x
  2. Step 2: Convert to fraction form
    205,746,896/313,443,861 = 313,443,861/x
  3. Step 3: Cross multiply
    205,746,896x = 313,443,861 × 313,443,861
  4. Step 4: Simplify right side
    205,746,896x = 98,247,053,998,587,328
  5. Step 5: Solve for x
    x = 98,247,053,998,587,328/205,746,896
  6. Step 6: Final answer
    x = 477,514,149.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.