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Finding the Third Proportional to 49,233 and 106,228.50

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Solution

The third proportional to 49,233 and 106,228.50 is: 229,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233 : 106,228.50 = 106,228.50 : x
  2. Step 2: Convert to fraction form
    49,233/106,228.50 = 106,228.50/x
  3. Step 3: Cross multiply
    49,233x = 106,228.50 × 106,228.50
  4. Step 4: Simplify right side
    49,233x = 11,284,494,212.25
  5. Step 5: Solve for x
    x = 11,284,494,212.25/49,233
  6. Step 6: Final answer
    x = 229,205.90

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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.