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Finding the Third Proportional to 49,486.50 and 103,834.50

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Solution

The third proportional to 49,486.50 and 103,834.50 is: 217,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,486.50 : 103,834.50 = 103,834.50 : x
  2. Step 2: Convert to fraction form
    49,486.50/103,834.50 = 103,834.50/x
  3. Step 3: Cross multiply
    49,486.50x = 103,834.50 × 103,834.50
  4. Step 4: Simplify right side
    49,486.50x = 10,781,603,390.25
  5. Step 5: Solve for x
    x = 10,781,603,390.25/49,486.50
  6. Step 6: Final answer
    x = 217,869.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.