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Finding the Third Proportional to 157,097,367 and 330,474,762

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Solution

The third proportional to 157,097,367 and 330,474,762 is: 695,196,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097,367 : 330,474,762 = 330,474,762 : x
  2. Step 2: Convert to fraction form
    157,097,367/330,474,762 = 330,474,762/x
  3. Step 3: Cross multiply
    157,097,367x = 330,474,762 × 330,474,762
  4. Step 4: Simplify right side
    157,097,367x = 109,213,568,318,956,640
  5. Step 5: Solve for x
    x = 109,213,568,318,956,640/157,097,367
  6. Step 6: Final answer
    x = 695,196,682.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.