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Finding the Third Proportional to 49,965.19 and 105,544.69

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Solution

The third proportional to 49,965.19 and 105,544.69 is: 222,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,965.19 : 105,544.69 = 105,544.69 : x
  2. Step 2: Convert to fraction form
    49,965.19/105,544.69 = 105,544.69/x
  3. Step 3: Cross multiply
    49,965.19x = 105,544.69 × 105,544.69
  4. Step 4: Simplify right side
    49,965.19x = 11,139,681,059.47
  5. Step 5: Solve for x
    x = 11,139,681,059.47/49,965.19
  6. Step 6: Final answer
    x = 222,948.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.