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Finding the Third Proportional to 49,940.25 and 108,196.50

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Solution

The third proportional to 49,940.25 and 108,196.50 is: 234,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,940.25 : 108,196.50 = 108,196.50 : x
  2. Step 2: Convert to fraction form
    49,940.25/108,196.50 = 108,196.50/x
  3. Step 3: Cross multiply
    49,940.25x = 108,196.50 × 108,196.50
  4. Step 4: Simplify right side
    49,940.25x = 11,706,482,612.25
  5. Step 5: Solve for x
    x = 11,706,482,612.25/49,940.25
  6. Step 6: Final answer
    x = 234,409.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.