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Finding the Third Proportional to 273,241,296 and 422,630,172

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Solution

The third proportional to 273,241,296 and 422,630,172 is: 653,694,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,296 : 422,630,172 = 422,630,172 : x
  2. Step 2: Convert to fraction form
    273,241,296/422,630,172 = 422,630,172/x
  3. Step 3: Cross multiply
    273,241,296x = 422,630,172 × 422,630,172
  4. Step 4: Simplify right side
    273,241,296x = 178,616,262,284,749,568
  5. Step 5: Solve for x
    x = 178,616,262,284,749,568/273,241,296
  6. Step 6: Final answer
    x = 653,694,243.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.