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Finding the Third Proportional to 47,107.50 and 97,527.38

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Solution

The third proportional to 47,107.50 and 97,527.38 is: 201,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107.50 : 97,527.38 = 97,527.38 : x
  2. Step 2: Convert to fraction form
    47,107.50/97,527.38 = 97,527.38/x
  3. Step 3: Cross multiply
    47,107.50x = 97,527.38 × 97,527.38
  4. Step 4: Simplify right side
    47,107.50x = 9,511,588,874.39
  5. Step 5: Solve for x
    x = 9,511,588,874.39/47,107.50
  6. Step 6: Final answer
    x = 201,912.41

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.