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Finding the Third Proportional to 182,915,954,360 and 396,226,879,600

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Solution

The third proportional to 182,915,954,360 and 396,226,879,600 is: 858,294,404,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915,954,360 : 396,226,879,600 = 396,226,879,600 : x
  2. Step 2: Convert to fraction form
    182,915,954,360/396,226,879,600 = 396,226,879,600/x
  3. Step 3: Cross multiply
    182,915,954,360x = 396,226,879,600 × 396,226,879,600
  4. Step 4: Simplify right side
    182,915,954,360x = 156,995,740,117,552,903,225,344
  5. Step 5: Solve for x
    x = 156,995,740,117,552,903,225,344/182,915,954,360
  6. Step 6: Final answer
    x = 858,294,404,481.34

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