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Finding the Third Proportional to 267,150,333 and 408,670,221

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Solution

The third proportional to 267,150,333 and 408,670,221 is: 625,158,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,150,333 : 408,670,221 = 408,670,221 : x
  2. Step 2: Convert to fraction form
    267,150,333/408,670,221 = 408,670,221/x
  3. Step 3: Cross multiply
    267,150,333x = 408,670,221 × 408,670,221
  4. Step 4: Simplify right side
    267,150,333x = 167,011,349,532,188,832
  5. Step 5: Solve for x
    x = 167,011,349,532,188,832/267,150,333
  6. Step 6: Final answer
    x = 625,158,679.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.