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Finding the Third Proportional to 192,697,686 and 274,697,649

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Solution

The third proportional to 192,697,686 and 274,697,649 is: 391,591,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,697,686 : 274,697,649 = 274,697,649 : x
  2. Step 2: Convert to fraction form
    192,697,686/274,697,649 = 274,697,649/x
  3. Step 3: Cross multiply
    192,697,686x = 274,697,649 × 274,697,649
  4. Step 4: Simplify right side
    192,697,686x = 75,458,798,366,127,200
  5. Step 5: Solve for x
    x = 75,458,798,366,127,200/192,697,686
  6. Step 6: Final answer
    x = 391,591,616.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.