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Finding the Third Proportional to 201,149,448 and 434,351,568

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Solution

The third proportional to 201,149,448 and 434,351,568 is: 937,915,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149,448 : 434,351,568 = 434,351,568 : x
  2. Step 2: Convert to fraction form
    201,149,448/434,351,568 = 434,351,568/x
  3. Step 3: Cross multiply
    201,149,448x = 434,351,568 × 434,351,568
  4. Step 4: Simplify right side
    201,149,448x = 188,661,284,624,058,624
  5. Step 5: Solve for x
    x = 188,661,284,624,058,624/201,149,448
  6. Step 6: Final answer
    x = 937,915,994.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.