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Finding the Third Proportional to 49,511.25 and 106,913.67

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Solution

The third proportional to 49,511.25 and 106,913.67 is: 230,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511.25 : 106,913.67 = 106,913.67 : x
  2. Step 2: Convert to fraction form
    49,511.25/106,913.67 = 106,913.67/x
  3. Step 3: Cross multiply
    49,511.25x = 106,913.67 × 106,913.67
  4. Step 4: Simplify right side
    49,511.25x = 11,430,533,233.80
  5. Step 5: Solve for x
    x = 11,430,533,233.80/49,511.25
  6. Step 6: Final answer
    x = 230,867.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.