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Finding the Third Proportional to 47,704.50 and 103,603.50

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Solution

The third proportional to 47,704.50 and 103,603.50 is: 225,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.50 : 103,603.50 = 103,603.50 : x
  2. Step 2: Convert to fraction form
    47,704.50/103,603.50 = 103,603.50/x
  3. Step 3: Cross multiply
    47,704.50x = 103,603.50 × 103,603.50
  4. Step 4: Simplify right side
    47,704.50x = 10,733,685,212.25
  5. Step 5: Solve for x
    x = 10,733,685,212.25/47,704.50
  6. Step 6: Final answer
    x = 225,003.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.