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Finding the Third Proportional to 70,297,956 and 144,020,754

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Solution

The third proportional to 70,297,956 and 144,020,754 is: 295,058,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297,956 : 144,020,754 = 144,020,754 : x
  2. Step 2: Convert to fraction form
    70,297,956/144,020,754 = 144,020,754/x
  3. Step 3: Cross multiply
    70,297,956x = 144,020,754 × 144,020,754
  4. Step 4: Simplify right side
    70,297,956x = 20,741,977,582,728,516
  5. Step 5: Solve for x
    x = 20,741,977,582,728,516/70,297,956
  6. Step 6: Final answer
    x = 295,058,046.68

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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.