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Finding the Third Proportional to 121,093.31 and 188,998.31

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Solution

The third proportional to 121,093.31 and 188,998.31 is: 294,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093.31 : 188,998.31 = 188,998.31 : x
  2. Step 2: Convert to fraction form
    121,093.31/188,998.31 = 188,998.31/x
  3. Step 3: Cross multiply
    121,093.31x = 188,998.31 × 188,998.31
  4. Step 4: Simplify right side
    121,093.31x = 35,720,362,127.85
  5. Step 5: Solve for x
    x = 35,720,362,127.85/121,093.31
  6. Step 6: Final answer
    x = 294,982.12

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