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Finding the Third Proportional to 100,799.44 and 157,327.31

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Solution

The third proportional to 100,799.44 and 157,327.31 is: 245,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,799.44 : 157,327.31 = 157,327.31 : x
  2. Step 2: Convert to fraction form
    100,799.44/157,327.31 = 157,327.31/x
  3. Step 3: Cross multiply
    100,799.44x = 157,327.31 × 157,327.31
  4. Step 4: Simplify right side
    100,799.44x = 24,751,883,258.47
  5. Step 5: Solve for x
    x = 24,751,883,258.47/100,799.44
  6. Step 6: Final answer
    x = 245,555.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.