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Finding the Third Proportional to 161,380,394,506 and 353,161,317,836

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Solution

The third proportional to 161,380,394,506 and 353,161,317,836 is: 772,850,486,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380,394,506 : 353,161,317,836 = 353,161,317,836 : x
  2. Step 2: Convert to fraction form
    161,380,394,506/353,161,317,836 = 353,161,317,836/x
  3. Step 3: Cross multiply
    161,380,394,506x = 353,161,317,836 × 353,161,317,836
  4. Step 4: Simplify right side
    161,380,394,506x = 124,722,916,415,660,210,782,208
  5. Step 5: Solve for x
    x = 124,722,916,415,660,210,782,208/161,380,394,506
  6. Step 6: Final answer
    x = 772,850,486,562.81

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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.