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Finding the Third Proportional to 192,414,993 and 420,099,716

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Solution

The third proportional to 192,414,993 and 420,099,716 is: 917,203,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414,993 : 420,099,716 = 420,099,716 : x
  2. Step 2: Convert to fraction form
    192,414,993/420,099,716 = 420,099,716/x
  3. Step 3: Cross multiply
    192,414,993x = 420,099,716 × 420,099,716
  4. Step 4: Simplify right side
    192,414,993x = 176,483,771,383,280,640
  5. Step 5: Solve for x
    x = 176,483,771,383,280,640/192,414,993
  6. Step 6: Final answer
    x = 917,203,844.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.