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Finding the Third Proportional to 167,796,118,978 and 359,526,214,720

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Solution

The third proportional to 167,796,118,978 and 359,526,214,720 is: 770,334,259,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,796,118,978 : 359,526,214,720 = 359,526,214,720 : x
  2. Step 2: Convert to fraction form
    167,796,118,978/359,526,214,720 = 359,526,214,720/x
  3. Step 3: Cross multiply
    167,796,118,978x = 359,526,214,720 × 359,526,214,720
  4. Step 4: Simplify right side
    167,796,118,978x = 129,259,099,070,891,546,378,240
  5. Step 5: Solve for x
    x = 129,259,099,070,891,546,378,240/167,796,118,978
  6. Step 6: Final answer
    x = 770,334,259,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.