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Finding the Third Proportional to 75,913,728,322 and 158,110,790,980

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Solution

The third proportional to 75,913,728,322 and 158,110,790,980 is: 329,308,318,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913,728,322 : 158,110,790,980 = 158,110,790,980 : x
  2. Step 2: Convert to fraction form
    75,913,728,322/158,110,790,980 = 158,110,790,980/x
  3. Step 3: Cross multiply
    75,913,728,322x = 158,110,790,980 × 158,110,790,980
  4. Step 4: Simplify right side
    75,913,728,322x = 24,999,022,224,321,250,590,720
  5. Step 5: Solve for x
    x = 24,999,022,224,321,250,590,720/75,913,728,322
  6. Step 6: Final answer
    x = 329,308,318,493.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.