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Finding the Third Proportional to 188,188,704 and 405,211,680

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Solution

The third proportional to 188,188,704 and 405,211,680 is: 872,509,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,188,704 : 405,211,680 = 405,211,680 : x
  2. Step 2: Convert to fraction form
    188,188,704/405,211,680 = 405,211,680/x
  3. Step 3: Cross multiply
    188,188,704x = 405,211,680 × 405,211,680
  4. Step 4: Simplify right side
    188,188,704x = 164,196,505,608,422,400
  5. Step 5: Solve for x
    x = 164,196,505,608,422,400/188,188,704
  6. Step 6: Final answer
    x = 872,509,890.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.