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Finding the Third Proportional to 141,343,680 and 305,381,568

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Solution

The third proportional to 141,343,680 and 305,381,568 is: 659,795,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,343,680 : 305,381,568 = 305,381,568 : x
  2. Step 2: Convert to fraction form
    141,343,680/305,381,568 = 305,381,568/x
  3. Step 3: Cross multiply
    141,343,680x = 305,381,568 × 305,381,568
  4. Step 4: Simplify right side
    141,343,680x = 93,257,902,074,138,624
  5. Step 5: Solve for x
    x = 93,257,902,074,138,624/141,343,680
  6. Step 6: Final answer
    x = 659,795,344.75

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Why These Related Problems?

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