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Finding the Third Proportional to 70,661,296 and 106,345,756

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Solution

The third proportional to 70,661,296 and 106,345,756 is: 160,051,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,296 : 106,345,756 = 106,345,756 : x
  2. Step 2: Convert to fraction form
    70,661,296/106,345,756 = 106,345,756/x
  3. Step 3: Cross multiply
    70,661,296x = 106,345,756 × 106,345,756
  4. Step 4: Simplify right side
    70,661,296x = 11,309,419,819,211,536
  5. Step 5: Solve for x
    x = 11,309,419,819,211,536/70,661,296
  6. Step 6: Final answer
    x = 160,051,123.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.