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Finding the Third Proportional to 267,150,339 and 408,670,230

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Solution

The third proportional to 267,150,339 and 408,670,230 is: 625,158,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,150,339 : 408,670,230 = 408,670,230 : x
  2. Step 2: Convert to fraction form
    267,150,339/408,670,230 = 408,670,230/x
  3. Step 3: Cross multiply
    267,150,339x = 408,670,230 × 408,670,230
  4. Step 4: Simplify right side
    267,150,339x = 167,011,356,888,252,896
  5. Step 5: Solve for x
    x = 167,011,356,888,252,896/267,150,339
  6. Step 6: Final answer
    x = 625,158,693.47

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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.