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Finding the Third Proportional to 161,380,394,556 and 353,161,317,932

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Solution

The third proportional to 161,380,394,556 and 353,161,317,932 is: 772,850,486,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380,394,556 : 353,161,317,932 = 353,161,317,932 : x
  2. Step 2: Convert to fraction form
    161,380,394,556/353,161,317,932 = 353,161,317,932/x
  3. Step 3: Cross multiply
    161,380,394,556x = 353,161,317,932 × 353,161,317,932
  4. Step 4: Simplify right side
    161,380,394,556x = 124,722,916,483,467,191,517,184
  5. Step 5: Solve for x
    x = 124,722,916,483,467,191,517,184/161,380,394,556
  6. Step 6: Final answer
    x = 772,850,486,743.53

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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.