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Finding the Third Proportional to 179,952,505,796 and 386,987,244,956

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Solution

The third proportional to 179,952,505,796 and 386,987,244,956 is: 832,214,739,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,505,796 : 386,987,244,956 = 386,987,244,956 : x
  2. Step 2: Convert to fraction form
    179,952,505,796/386,987,244,956 = 386,987,244,956/x
  3. Step 3: Cross multiply
    179,952,505,796x = 386,987,244,956 × 386,987,244,956
  4. Step 4: Simplify right side
    179,952,505,796x = 149,759,127,758,635,154,800,640
  5. Step 5: Solve for x
    x = 149,759,127,758,635,154,800,640/179,952,505,796
  6. Step 6: Final answer
    x = 832,214,739,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.