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Finding the Third Proportional to 303,231,831 and 465,801,183.50

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Solution

The third proportional to 303,231,831 and 465,801,183.50 is: 715,527,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,831 : 465,801,183.50 = 465,801,183.50 : x
  2. Step 2: Convert to fraction form
    303,231,831/465,801,183.50 = 465,801,183.50/x
  3. Step 3: Cross multiply
    303,231,831x = 465,801,183.50 × 465,801,183.50
  4. Step 4: Simplify right side
    303,231,831x = 216,970,742,550,000,672
  5. Step 5: Solve for x
    x = 216,970,742,550,000,672/303,231,831
  6. Step 6: Final answer
    x = 715,527,594.30

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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.