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Finding the Third Proportional to 157,264,896 and 327,085,568

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Solution

The third proportional to 157,264,896 and 327,085,568 is: 680,285,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,264,896 : 327,085,568 = 327,085,568 : x
  2. Step 2: Convert to fraction form
    157,264,896/327,085,568 = 327,085,568/x
  3. Step 3: Cross multiply
    157,264,896x = 327,085,568 × 327,085,568
  4. Step 4: Simplify right side
    157,264,896x = 106,984,968,793,882,624
  5. Step 5: Solve for x
    x = 106,984,968,793,882,624/157,264,896
  6. Step 6: Final answer
    x = 680,285,120.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.