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Finding the Third Proportional to 74,189,760 and 158,589,396

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Solution

The third proportional to 74,189,760 and 158,589,396 is: 339,003,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189,760 : 158,589,396 = 158,589,396 : x
  2. Step 2: Convert to fraction form
    74,189,760/158,589,396 = 158,589,396/x
  3. Step 3: Cross multiply
    74,189,760x = 158,589,396 × 158,589,396
  4. Step 4: Simplify right side
    74,189,760x = 25,150,596,523,644,816
  5. Step 5: Solve for x
    x = 25,150,596,523,644,816/74,189,760
  6. Step 6: Final answer
    x = 339,003,610.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.