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Finding the Third Proportional to 95,821,840.69 and 207,997,380.14

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Solution

The third proportional to 95,821,840.69 and 207,997,380.14 is: 451,493,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,821,840.69 : 207,997,380.14 = 207,997,380.14 : x
  2. Step 2: Convert to fraction form
    95,821,840.69/207,997,380.14 = 207,997,380.14/x
  3. Step 3: Cross multiply
    95,821,840.69x = 207,997,380.14 × 207,997,380.14
  4. Step 4: Simplify right side
    95,821,840.69x = 43,262,910,145,361,584
  5. Step 5: Solve for x
    x = 43,262,910,145,361,584/95,821,840.69
  6. Step 6: Final answer
    x = 451,493,206.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.