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Finding the Third Proportional to 150,917,238 and 323,350,668

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Solution

The third proportional to 150,917,238 and 323,350,668 is: 692,801,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,917,238 : 323,350,668 = 323,350,668 : x
  2. Step 2: Convert to fraction form
    150,917,238/323,350,668 = 323,350,668/x
  3. Step 3: Cross multiply
    150,917,238x = 323,350,668 × 323,350,668
  4. Step 4: Simplify right side
    150,917,238x = 104,555,654,496,046,224
  5. Step 5: Solve for x
    x = 104,555,654,496,046,224/150,917,238
  6. Step 6: Final answer
    x = 692,801,272.28

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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.