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Finding the Third Proportional to 150,462,900 and 330,517,476

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Solution

The third proportional to 150,462,900 and 330,517,476 is: 726,038,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462,900 : 330,517,476 = 330,517,476 : x
  2. Step 2: Convert to fraction form
    150,462,900/330,517,476 = 330,517,476/x
  3. Step 3: Cross multiply
    150,462,900x = 330,517,476 × 330,517,476
  4. Step 4: Simplify right side
    150,462,900x = 109,241,801,941,410,576
  5. Step 5: Solve for x
    x = 109,241,801,941,410,576/150,462,900
  6. Step 6: Final answer
    x = 726,038,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.