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Finding the Third Proportional to 303,231,832 and 465,801,184

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Solution

The third proportional to 303,231,832 and 465,801,184 is: 715,527,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,832 : 465,801,184 = 465,801,184 : x
  2. Step 2: Convert to fraction form
    303,231,832/465,801,184 = 465,801,184/x
  3. Step 3: Cross multiply
    303,231,832x = 465,801,184 × 465,801,184
  4. Step 4: Simplify right side
    303,231,832x = 216,970,743,015,801,856
  5. Step 5: Solve for x
    x = 216,970,743,015,801,856/303,231,832
  6. Step 6: Final answer
    x = 715,527,593.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.