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Finding the Third Proportional to 211,448,132 and 297,770,054

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Solution

The third proportional to 211,448,132 and 297,770,054 is: 419,332,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,448,132 : 297,770,054 = 297,770,054 : x
  2. Step 2: Convert to fraction form
    211,448,132/297,770,054 = 297,770,054/x
  3. Step 3: Cross multiply
    211,448,132x = 297,770,054 × 297,770,054
  4. Step 4: Simplify right side
    211,448,132x = 88,667,005,059,162,912
  5. Step 5: Solve for x
    x = 88,667,005,059,162,912/211,448,132
  6. Step 6: Final answer
    x = 419,332,174.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.