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Finding the Third Proportional to 101,833.50 and 154,443.75

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Solution

The third proportional to 101,833.50 and 154,443.75 is: 234,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833.50 : 154,443.75 = 154,443.75 : x
  2. Step 2: Convert to fraction form
    101,833.50/154,443.75 = 154,443.75/x
  3. Step 3: Cross multiply
    101,833.50x = 154,443.75 × 154,443.75
  4. Step 4: Simplify right side
    101,833.50x = 23,852,871,914.06
  5. Step 5: Solve for x
    x = 23,852,871,914.06/101,833.50
  6. Step 6: Final answer
    x = 234,234.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.