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Finding the Third Proportional to 168,899,381 and 363,714,712.25

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Solution

The third proportional to 168,899,381 and 363,714,712.25 is: 783,237,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,899,381 : 363,714,712.25 = 363,714,712.25 : x
  2. Step 2: Convert to fraction form
    168,899,381/363,714,712.25 = 363,714,712.25/x
  3. Step 3: Cross multiply
    168,899,381x = 363,714,712.25 × 363,714,712.25
  4. Step 4: Simplify right side
    168,899,381x = 132,288,391,907,100,304
  5. Step 5: Solve for x
    x = 132,288,391,907,100,304/168,899,381
  6. Step 6: Final answer
    x = 783,237,872.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.