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Finding the Third Proportional to 205,746,898 and 313,443,864

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Solution

The third proportional to 205,746,898 and 313,443,864 is: 477,514,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746,898 : 313,443,864 = 313,443,864 : x
  2. Step 2: Convert to fraction form
    205,746,898/313,443,864 = 313,443,864/x
  3. Step 3: Cross multiply
    205,746,898x = 313,443,864 × 313,443,864
  4. Step 4: Simplify right side
    205,746,898x = 98,247,055,879,250,496
  5. Step 5: Solve for x
    x = 98,247,055,879,250,496/205,746,898
  6. Step 6: Final answer
    x = 477,514,153.72

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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.