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Finding the Third Proportional to 49,196.25 and 105,230.25

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Solution

The third proportional to 49,196.25 and 105,230.25 is: 225,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.25 : 105,230.25 = 105,230.25 : x
  2. Step 2: Convert to fraction form
    49,196.25/105,230.25 = 105,230.25/x
  3. Step 3: Cross multiply
    49,196.25x = 105,230.25 × 105,230.25
  4. Step 4: Simplify right side
    49,196.25x = 11,073,405,515.06
  5. Step 5: Solve for x
    x = 11,073,405,515.06/49,196.25
  6. Step 6: Final answer
    x = 225,086.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.