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Finding the Third Proportional to 120,075,508 and 283,171,410

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Solution

The third proportional to 120,075,508 and 283,171,410 is: 667,796,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,075,508 : 283,171,410 = 283,171,410 : x
  2. Step 2: Convert to fraction form
    120,075,508/283,171,410 = 283,171,410/x
  3. Step 3: Cross multiply
    120,075,508x = 283,171,410 × 283,171,410
  4. Step 4: Simplify right side
    120,075,508x = 80,186,047,441,388,096
  5. Step 5: Solve for x
    x = 80,186,047,441,388,096/120,075,508
  6. Step 6: Final answer
    x = 667,796,861.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.