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Finding the Third Proportional to 303,231,783 and 465,801,112

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Solution

The third proportional to 303,231,783 and 465,801,112 is: 715,527,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,783 : 465,801,112 = 465,801,112 : x
  2. Step 2: Convert to fraction form
    303,231,783/465,801,112 = 465,801,112/x
  3. Step 3: Cross multiply
    303,231,783x = 465,801,112 × 465,801,112
  4. Step 4: Simplify right side
    303,231,783x = 216,970,675,940,436,544
  5. Step 5: Solve for x
    x = 216,970,675,940,436,544/303,231,783
  6. Step 6: Final answer
    x = 715,527,487.90

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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.