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Finding the Third Proportional to 101,045.81 and 140,494.78

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Solution

The third proportional to 101,045.81 and 140,494.78 is: 195,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,045.81 : 140,494.78 = 140,494.78 : x
  2. Step 2: Convert to fraction form
    101,045.81/140,494.78 = 140,494.78/x
  3. Step 3: Cross multiply
    101,045.81x = 140,494.78 × 140,494.78
  4. Step 4: Simplify right side
    101,045.81x = 19,738,783,558.49
  5. Step 5: Solve for x
    x = 19,738,783,558.49/101,045.81
  6. Step 6: Final answer
    x = 195,344.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.