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Finding the Third Proportional to 193,059,756 and 411,376,815

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Solution

The third proportional to 193,059,756 and 411,376,815 is: 876,572,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,059,756 : 411,376,815 = 411,376,815 : x
  2. Step 2: Convert to fraction form
    193,059,756/411,376,815 = 411,376,815/x
  3. Step 3: Cross multiply
    193,059,756x = 411,376,815 × 411,376,815
  4. Step 4: Simplify right side
    193,059,756x = 169,230,883,919,544,224
  5. Step 5: Solve for x
    x = 169,230,883,919,544,224/193,059,756
  6. Step 6: Final answer
    x = 876,572,556.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.