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Finding the Third Proportional to 47,940 and 104,626.50

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Solution

The third proportional to 47,940 and 104,626.50 is: 228,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940 : 104,626.50 = 104,626.50 : x
  2. Step 2: Convert to fraction form
    47,940/104,626.50 = 104,626.50/x
  3. Step 3: Cross multiply
    47,940x = 104,626.50 × 104,626.50
  4. Step 4: Simplify right side
    47,940x = 10,946,704,502.25
  5. Step 5: Solve for x
    x = 10,946,704,502.25/47,940
  6. Step 6: Final answer
    x = 228,341.77

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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.