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Finding the Third Proportional to 150,917,814 and 323,368,812

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Solution

The third proportional to 150,917,814 and 323,368,812 is: 692,876,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,917,814 : 323,368,812 = 323,368,812 : x
  2. Step 2: Convert to fraction form
    150,917,814/323,368,812 = 323,368,812/x
  3. Step 3: Cross multiply
    150,917,814x = 323,368,812 × 323,368,812
  4. Step 4: Simplify right side
    150,917,814x = 104,567,388,574,291,344
  5. Step 5: Solve for x
    x = 104,567,388,574,291,344/150,917,814
  6. Step 6: Final answer
    x = 692,876,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.