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Finding the Third Proportional to 161,380,394,511 and 353,161,317,846

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Solution

The third proportional to 161,380,394,511 and 353,161,317,846 is: 772,850,486,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380,394,511 : 353,161,317,846 = 353,161,317,846 : x
  2. Step 2: Convert to fraction form
    161,380,394,511/353,161,317,846 = 353,161,317,846/x
  3. Step 3: Cross multiply
    161,380,394,511x = 353,161,317,846 × 353,161,317,846
  4. Step 4: Simplify right side
    161,380,394,511x = 124,722,916,422,723,435,495,424
  5. Step 5: Solve for x
    x = 124,722,916,422,723,435,495,424/161,380,394,511
  6. Step 6: Final answer
    x = 772,850,486,582.63

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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.