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Finding the Third Proportional to 47,863.50 and 103,048.50

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Solution

The third proportional to 47,863.50 and 103,048.50 is: 221,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,863.50 : 103,048.50 = 103,048.50 : x
  2. Step 2: Convert to fraction form
    47,863.50/103,048.50 = 103,048.50/x
  3. Step 3: Cross multiply
    47,863.50x = 103,048.50 × 103,048.50
  4. Step 4: Simplify right side
    47,863.50x = 10,618,993,352.25
  5. Step 5: Solve for x
    x = 10,618,993,352.25/47,863.50
  6. Step 6: Final answer
    x = 221,859.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.