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Finding the Third Proportional to 70,297,992 and 144,020,826

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Solution

The third proportional to 70,297,992 and 144,020,826 is: 295,058,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297,992 : 144,020,826 = 144,020,826 : x
  2. Step 2: Convert to fraction form
    70,297,992/144,020,826 = 144,020,826/x
  3. Step 3: Cross multiply
    70,297,992x = 144,020,826 × 144,020,826
  4. Step 4: Simplify right side
    70,297,992x = 20,741,998,321,722,276
  5. Step 5: Solve for x
    x = 20,741,998,321,722,276/70,297,992
  6. Step 6: Final answer
    x = 295,058,190.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.