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Finding the Third Proportional to 134,687.81 and 196,108.59

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Solution

The third proportional to 134,687.81 and 196,108.59 is: 285,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,687.81 : 196,108.59 = 196,108.59 : x
  2. Step 2: Convert to fraction form
    134,687.81/196,108.59 = 196,108.59/x
  3. Step 3: Cross multiply
    134,687.81x = 196,108.59 × 196,108.59
  4. Step 4: Simplify right side
    134,687.81x = 38,458,580,542.60
  5. Step 5: Solve for x
    x = 38,458,580,542.60/134,687.81
  6. Step 6: Final answer
    x = 285,538.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.