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Finding the Third Proportional to 157,097,366 and 330,474,756

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Solution

The third proportional to 157,097,366 and 330,474,756 is: 695,196,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097,366 : 330,474,756 = 330,474,756 : x
  2. Step 2: Convert to fraction form
    157,097,366/330,474,756 = 330,474,756/x
  3. Step 3: Cross multiply
    157,097,366x = 330,474,756 × 330,474,756
  4. Step 4: Simplify right side
    157,097,366x = 109,213,564,353,259,536
  5. Step 5: Solve for x
    x = 109,213,564,353,259,536/157,097,366
  6. Step 6: Final answer
    x = 695,196,661.37

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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.