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Finding the Third Proportional to 111,157.31 and 147,789.56

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Solution

The third proportional to 111,157.31 and 147,789.56 is: 196,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,157.31 : 147,789.56 = 147,789.56 : x
  2. Step 2: Convert to fraction form
    111,157.31/147,789.56 = 147,789.56/x
  3. Step 3: Cross multiply
    111,157.31x = 147,789.56 × 147,789.56
  4. Step 4: Simplify right side
    111,157.31x = 21,841,754,783.94
  5. Step 5: Solve for x
    x = 21,841,754,783.94/111,157.31
  6. Step 6: Final answer
    x = 196,494.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.