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Finding the Third Proportional to 179,952,505,798 and 386,987,244,960

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Solution

The third proportional to 179,952,505,798 and 386,987,244,960 is: 832,214,739,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,505,798 : 386,987,244,960 = 386,987,244,960 : x
  2. Step 2: Convert to fraction form
    179,952,505,798/386,987,244,960 = 386,987,244,960/x
  3. Step 3: Cross multiply
    179,952,505,798x = 386,987,244,960 × 386,987,244,960
  4. Step 4: Simplify right side
    179,952,505,798x = 149,759,127,761,731,037,691,904
  5. Step 5: Solve for x
    x = 149,759,127,761,731,037,691,904/179,952,505,798
  6. Step 6: Final answer
    x = 832,214,739,648.24

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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.