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Finding the Third Proportional to 258,410,212 and 397,195,064

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Solution

The third proportional to 258,410,212 and 397,195,064 is: 610,517,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410,212 : 397,195,064 = 397,195,064 : x
  2. Step 2: Convert to fraction form
    258,410,212/397,195,064 = 397,195,064/x
  3. Step 3: Cross multiply
    258,410,212x = 397,195,064 × 397,195,064
  4. Step 4: Simplify right side
    258,410,212x = 157,763,918,865,964,096
  5. Step 5: Solve for x
    x = 157,763,918,865,964,096/258,410,212
  6. Step 6: Final answer
    x = 610,517,353.96

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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.