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Finding the Third Proportional to 70,180,844 and 156,498,538

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Solution

The third proportional to 70,180,844 and 156,498,538 is: 348,981,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180,844 : 156,498,538 = 156,498,538 : x
  2. Step 2: Convert to fraction form
    70,180,844/156,498,538 = 156,498,538/x
  3. Step 3: Cross multiply
    70,180,844x = 156,498,538 × 156,498,538
  4. Step 4: Simplify right side
    70,180,844x = 24,491,792,396,137,444
  5. Step 5: Solve for x
    x = 24,491,792,396,137,444/70,180,844
  6. Step 6: Final answer
    x = 348,981,160.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.