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Finding the Third Proportional to 150,214,110 and 316,568,280

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Solution

The third proportional to 150,214,110 and 316,568,280 is: 667,150,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214,110 : 316,568,280 = 316,568,280 : x
  2. Step 2: Convert to fraction form
    150,214,110/316,568,280 = 316,568,280/x
  3. Step 3: Cross multiply
    150,214,110x = 316,568,280 × 316,568,280
  4. Step 4: Simplify right side
    150,214,110x = 100,215,475,902,158,400
  5. Step 5: Solve for x
    x = 100,215,475,902,158,400/150,214,110
  6. Step 6: Final answer
    x = 667,150,881.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.