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Finding the Third Proportional to 65,215,538 and 140,645,517

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Solution

The third proportional to 65,215,538 and 140,645,517 is: 303,319,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215,538 : 140,645,517 = 140,645,517 : x
  2. Step 2: Convert to fraction form
    65,215,538/140,645,517 = 140,645,517/x
  3. Step 3: Cross multiply
    65,215,538x = 140,645,517 × 140,645,517
  4. Step 4: Simplify right side
    65,215,538x = 19,781,161,452,197,288
  5. Step 5: Solve for x
    x = 19,781,161,452,197,288/65,215,538
  6. Step 6: Final answer
    x = 303,319,761.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.