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Finding the Third Proportional to 168,134,456 and 362,206,064

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Solution

The third proportional to 168,134,456 and 362,206,064 is: 780,287,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,134,456 : 362,206,064 = 362,206,064 : x
  2. Step 2: Convert to fraction form
    168,134,456/362,206,064 = 362,206,064/x
  3. Step 3: Cross multiply
    168,134,456x = 362,206,064 × 362,206,064
  4. Step 4: Simplify right side
    168,134,456x = 131,193,232,798,372,096
  5. Step 5: Solve for x
    x = 131,193,232,798,372,096/168,134,456
  6. Step 6: Final answer
    x = 780,287,609.81

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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.