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Finding the Third Proportional to 205,331,093 and 313,168,350

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Solution

The third proportional to 205,331,093 and 313,168,350 is: 477,640,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,331,093 : 313,168,350 = 313,168,350 : x
  2. Step 2: Convert to fraction form
    205,331,093/313,168,350 = 313,168,350/x
  3. Step 3: Cross multiply
    205,331,093x = 313,168,350 × 313,168,350
  4. Step 4: Simplify right side
    205,331,093x = 98,074,415,441,722,496
  5. Step 5: Solve for x
    x = 98,074,415,441,722,496/205,331,093
  6. Step 6: Final answer
    x = 477,640,351.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.