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Finding the Third Proportional to 258,410,257 and 397,195,093

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Solution

The third proportional to 258,410,257 and 397,195,093 is: 610,517,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410,257 : 397,195,093 = 397,195,093 : x
  2. Step 2: Convert to fraction form
    258,410,257/397,195,093 = 397,195,093/x
  3. Step 3: Cross multiply
    258,410,257x = 397,195,093 × 397,195,093
  4. Step 4: Simplify right side
    258,410,257x = 157,763,941,903,278,656
  5. Step 5: Solve for x
    x = 157,763,941,903,278,656/258,410,257
  6. Step 6: Final answer
    x = 610,517,336.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.