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Finding the Third Proportional to 171,345,777 and 261,036,180

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Solution

The third proportional to 171,345,777 and 261,036,180 is: 397,674,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,777 : 261,036,180 = 261,036,180 : x
  2. Step 2: Convert to fraction form
    171,345,777/261,036,180 = 261,036,180/x
  3. Step 3: Cross multiply
    171,345,777x = 261,036,180 × 261,036,180
  4. Step 4: Simplify right side
    171,345,777x = 68,139,887,268,992,400
  5. Step 5: Solve for x
    x = 68,139,887,268,992,400/171,345,777
  6. Step 6: Final answer
    x = 397,674,739.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.