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Finding the Third Proportional to 49,950.50 and 104,518.50

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Solution

The third proportional to 49,950.50 and 104,518.50 is: 218,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,950.50 : 104,518.50 = 104,518.50 : x
  2. Step 2: Convert to fraction form
    49,950.50/104,518.50 = 104,518.50/x
  3. Step 3: Cross multiply
    49,950.50x = 104,518.50 × 104,518.50
  4. Step 4: Simplify right side
    49,950.50x = 10,924,116,842.25
  5. Step 5: Solve for x
    x = 10,924,116,842.25/49,950.50
  6. Step 6: Final answer
    x = 218,698.85

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.