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Finding the Third Proportional to 142,519,477 and 220,324,029

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Solution

The third proportional to 142,519,477 and 220,324,029 is: 340,603,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,519,477 : 220,324,029 = 220,324,029 : x
  2. Step 2: Convert to fraction form
    142,519,477/220,324,029 = 220,324,029/x
  3. Step 3: Cross multiply
    142,519,477x = 220,324,029 × 220,324,029
  4. Step 4: Simplify right side
    142,519,477x = 48,542,677,754,792,840
  5. Step 5: Solve for x
    x = 48,542,677,754,792,840/142,519,477
  6. Step 6: Final answer
    x = 340,603,816.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.