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Finding the Third Proportional to 168,985,768 and 362,224,268

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Solution

The third proportional to 168,985,768 and 362,224,268 is: 776,434,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,985,768 : 362,224,268 = 362,224,268 : x
  2. Step 2: Convert to fraction form
    168,985,768/362,224,268 = 362,224,268/x
  3. Step 3: Cross multiply
    168,985,768x = 362,224,268 × 362,224,268
  4. Step 4: Simplify right side
    168,985,768x = 131,206,420,328,135,824
  5. Step 5: Solve for x
    x = 131,206,420,328,135,824/168,985,768
  6. Step 6: Final answer
    x = 776,434,736.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.