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Finding the Third Proportional to 161,380,394,502 and 353,161,317,828

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Solution

The third proportional to 161,380,394,502 and 353,161,317,828 is: 772,850,486,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380,394,502 : 353,161,317,828 = 353,161,317,828 : x
  2. Step 2: Convert to fraction form
    161,380,394,502/353,161,317,828 = 353,161,317,828/x
  3. Step 3: Cross multiply
    161,380,394,502x = 353,161,317,828 × 353,161,317,828
  4. Step 4: Simplify right side
    161,380,394,502x = 124,722,916,410,009,627,656,192
  5. Step 5: Solve for x
    x = 124,722,916,410,009,627,656,192/161,380,394,502
  6. Step 6: Final answer
    x = 772,850,486,546.95

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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.