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Finding the Third Proportional to 136,858,704 and 283,418,392

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Solution

The third proportional to 136,858,704 and 283,418,392 is: 586,926,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,858,704 : 283,418,392 = 283,418,392 : x
  2. Step 2: Convert to fraction form
    136,858,704/283,418,392 = 283,418,392/x
  3. Step 3: Cross multiply
    136,858,704x = 283,418,392 × 283,418,392
  4. Step 4: Simplify right side
    136,858,704x = 80,325,984,923,865,664
  5. Step 5: Solve for x
    x = 80,325,984,923,865,664/136,858,704
  6. Step 6: Final answer
    x = 586,926,388.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.