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Finding the Third Proportional to 75,559,412 and 160,198,966

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Solution

The third proportional to 75,559,412 and 160,198,966 is: 339,649,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,559,412 : 160,198,966 = 160,198,966 : x
  2. Step 2: Convert to fraction form
    75,559,412/160,198,966 = 160,198,966/x
  3. Step 3: Cross multiply
    75,559,412x = 160,198,966 × 160,198,966
  4. Step 4: Simplify right side
    75,559,412x = 25,663,708,707,469,156
  5. Step 5: Solve for x
    x = 25,663,708,707,469,156/75,559,412
  6. Step 6: Final answer
    x = 339,649,396.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.