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Finding the Third Proportional to 81,719,167,265 and 115,028,448,873

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Solution

The third proportional to 81,719,167,265 and 115,028,448,873 is: 161,914,817,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719,167,265 : 115,028,448,873 = 115,028,448,873 : x
  2. Step 2: Convert to fraction form
    81,719,167,265/115,028,448,873 = 115,028,448,873/x
  3. Step 3: Cross multiply
    81,719,167,265x = 115,028,448,873 × 115,028,448,873
  4. Step 4: Simplify right side
    81,719,167,265x = 13,231,544,050,128,374,464,512
  5. Step 5: Solve for x
    x = 13,231,544,050,128,374,464,512/81,719,167,265
  6. Step 6: Final answer
    x = 161,914,817,453.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.