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Finding the Third Proportional to 89,507,367 and 192,787,366

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Solution

The third proportional to 89,507,367 and 192,787,366 is: 415,239,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507,367 : 192,787,366 = 192,787,366 : x
  2. Step 2: Convert to fraction form
    89,507,367/192,787,366 = 192,787,366/x
  3. Step 3: Cross multiply
    89,507,367x = 192,787,366 × 192,787,366
  4. Step 4: Simplify right side
    89,507,367x = 37,166,968,489,217,952
  5. Step 5: Solve for x
    x = 37,166,968,489,217,952/89,507,367
  6. Step 6: Final answer
    x = 415,239,211.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.