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Finding the Third Proportional to 49,401 and 104,953.50

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Solution

The third proportional to 49,401 and 104,953.50 is: 222,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,401 : 104,953.50 = 104,953.50 : x
  2. Step 2: Convert to fraction form
    49,401/104,953.50 = 104,953.50/x
  3. Step 3: Cross multiply
    49,401x = 104,953.50 × 104,953.50
  4. Step 4: Simplify right side
    49,401x = 11,015,237,162.25
  5. Step 5: Solve for x
    x = 11,015,237,162.25/49,401
  6. Step 6: Final answer
    x = 222,976.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.