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Finding the Third Proportional to 184,089,079 and 397,380,280

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Solution

The third proportional to 184,089,079 and 397,380,280 is: 857,797,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,089,079 : 397,380,280 = 397,380,280 : x
  2. Step 2: Convert to fraction form
    184,089,079/397,380,280 = 397,380,280/x
  3. Step 3: Cross multiply
    184,089,079x = 397,380,280 × 397,380,280
  4. Step 4: Simplify right side
    184,089,079x = 157,911,086,932,878,400
  5. Step 5: Solve for x
    x = 157,911,086,932,878,400/184,089,079
  6. Step 6: Final answer
    x = 857,797,147.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.