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Finding the Third Proportional to 193,078,842 and 422,253,228

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Solution

The third proportional to 193,078,842 and 422,253,228 is: 923,445,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,078,842 : 422,253,228 = 422,253,228 : x
  2. Step 2: Convert to fraction form
    193,078,842/422,253,228 = 422,253,228/x
  3. Step 3: Cross multiply
    193,078,842x = 422,253,228 × 422,253,228
  4. Step 4: Simplify right side
    193,078,842x = 178,297,788,556,419,968
  5. Step 5: Solve for x
    x = 178,297,788,556,419,968/193,078,842
  6. Step 6: Final answer
    x = 923,445,503.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.