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Finding the Third Proportional to 136,858,648 and 283,418,282

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Solution

The third proportional to 136,858,648 and 283,418,282 is: 586,926,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,858,648 : 283,418,282 = 283,418,282 : x
  2. Step 2: Convert to fraction form
    136,858,648/283,418,282 = 283,418,282/x
  3. Step 3: Cross multiply
    136,858,648x = 283,418,282 × 283,418,282
  4. Step 4: Simplify right side
    136,858,648x = 80,325,922,571,831,520
  5. Step 5: Solve for x
    x = 80,325,922,571,831,520/136,858,648
  6. Step 6: Final answer
    x = 586,926,173.43

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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.