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Finding the Third Proportional to 120,075,504 and 283,171,400

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Solution

The third proportional to 120,075,504 and 283,171,400 is: 667,796,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,075,504 : 283,171,400 = 283,171,400 : x
  2. Step 2: Convert to fraction form
    120,075,504/283,171,400 = 283,171,400/x
  3. Step 3: Cross multiply
    120,075,504x = 283,171,400 × 283,171,400
  4. Step 4: Simplify right side
    120,075,504x = 80,186,041,777,960,000
  5. Step 5: Solve for x
    x = 80,186,041,777,960,000/120,075,504
  6. Step 6: Final answer
    x = 667,796,837.05

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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.