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Finding the Third Proportional to 283,483,183.50 and 394,160,708.25

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Solution

The third proportional to 283,483,183.50 and 394,160,708.25 is: 548,048,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,483,183.50 : 394,160,708.25 = 394,160,708.25 : x
  2. Step 2: Convert to fraction form
    283,483,183.50/394,160,708.25 = 394,160,708.25/x
  3. Step 3: Cross multiply
    283,483,183.50x = 394,160,708.25 × 394,160,708.25
  4. Step 4: Simplify right side
    283,483,183.50x = 155,362,663,928,141,632
  5. Step 5: Solve for x
    x = 155,362,663,928,141,632/283,483,183.50
  6. Step 6: Final answer
    x = 548,048,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.