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Finding the Third Proportional to 101,938.50 and 213,171.75

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Solution

The third proportional to 101,938.50 and 213,171.75 is: 445,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938.50 : 213,171.75 = 213,171.75 : x
  2. Step 2: Convert to fraction form
    101,938.50/213,171.75 = 213,171.75/x
  3. Step 3: Cross multiply
    101,938.50x = 213,171.75 × 213,171.75
  4. Step 4: Simplify right side
    101,938.50x = 45,442,194,998.06
  5. Step 5: Solve for x
    x = 45,442,194,998.06/101,938.50
  6. Step 6: Final answer
    x = 445,780.50

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.