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Finding the Third Proportional to 184,839,754 and 264,302,568

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Solution

The third proportional to 184,839,754 and 264,302,568 is: 377,926,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,839,754 : 264,302,568 = 264,302,568 : x
  2. Step 2: Convert to fraction form
    184,839,754/264,302,568 = 264,302,568/x
  3. Step 3: Cross multiply
    184,839,754x = 264,302,568 × 264,302,568
  4. Step 4: Simplify right side
    184,839,754x = 69,855,847,451,394,624
  5. Step 5: Solve for x
    x = 69,855,847,451,394,624/184,839,754
  6. Step 6: Final answer
    x = 377,926,533.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.