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Finding the Third Proportional to 197,815,062.50 and 290,796,917

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Solution

The third proportional to 197,815,062.50 and 290,796,917 is: 427,484,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,815,062.50 : 290,796,917 = 290,796,917 : x
  2. Step 2: Convert to fraction form
    197,815,062.50/290,796,917 = 290,796,917/x
  3. Step 3: Cross multiply
    197,815,062.50x = 290,796,917 × 290,796,917
  4. Step 4: Simplify right side
    197,815,062.50x = 84,562,846,936,704,896
  5. Step 5: Solve for x
    x = 84,562,846,936,704,896/197,815,062.50
  6. Step 6: Final answer
    x = 427,484,367.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.