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Finding the Third Proportional to 161,380,394,488 and 353,161,317,796

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Solution

The third proportional to 161,380,394,488 and 353,161,317,796 is: 772,850,486,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380,394,488 : 353,161,317,796 = 353,161,317,796 : x
  2. Step 2: Convert to fraction form
    161,380,394,488/353,161,317,796 = 353,161,317,796/x
  3. Step 3: Cross multiply
    161,380,394,488x = 353,161,317,796 × 353,161,317,796
  4. Step 4: Simplify right side
    161,380,394,488x = 124,722,916,387,407,311,929,344
  5. Step 5: Solve for x
    x = 124,722,916,387,407,311,929,344/161,380,394,488
  6. Step 6: Final answer
    x = 772,850,486,473.94

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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.