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Finding the Third Proportional to 49,970.50 and 106,414.50

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Solution

The third proportional to 49,970.50 and 106,414.50 is: 226,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970.50 : 106,414.50 = 106,414.50 : x
  2. Step 2: Convert to fraction form
    49,970.50/106,414.50 = 106,414.50/x
  3. Step 3: Cross multiply
    49,970.50x = 106,414.50 × 106,414.50
  4. Step 4: Simplify right side
    49,970.50x = 11,324,045,810.25
  5. Step 5: Solve for x
    x = 11,324,045,810.25/49,970.50
  6. Step 6: Final answer
    x = 226,614.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.