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Finding the Third Proportional to 80,360,016 and 174,419,394

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Solution

The third proportional to 80,360,016 and 174,419,394 is: 378,572,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,016 : 174,419,394 = 174,419,394 : x
  2. Step 2: Convert to fraction form
    80,360,016/174,419,394 = 174,419,394/x
  3. Step 3: Cross multiply
    80,360,016x = 174,419,394 × 174,419,394
  4. Step 4: Simplify right side
    80,360,016x = 30,422,125,003,327,236
  5. Step 5: Solve for x
    x = 30,422,125,003,327,236/80,360,016
  6. Step 6: Final answer
    x = 378,572,908.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.