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Finding the Third Proportional to 47,616.75 and 103,699.50

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Solution

The third proportional to 47,616.75 and 103,699.50 is: 225,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616.75 : 103,699.50 = 103,699.50 : x
  2. Step 2: Convert to fraction form
    47,616.75/103,699.50 = 103,699.50/x
  3. Step 3: Cross multiply
    47,616.75x = 103,699.50 × 103,699.50
  4. Step 4: Simplify right side
    47,616.75x = 10,753,586,300.25
  5. Step 5: Solve for x
    x = 10,753,586,300.25/47,616.75
  6. Step 6: Final answer
    x = 225,836.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.