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Finding the Third Proportional to 106,711.50 and 233,103

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Solution

The third proportional to 106,711.50 and 233,103 is: 509,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,711.50 : 233,103 = 233,103 : x
  2. Step 2: Convert to fraction form
    106,711.50/233,103 = 233,103/x
  3. Step 3: Cross multiply
    106,711.50x = 233,103 × 233,103
  4. Step 4: Simplify right side
    106,711.50x = 54,337,008,609
  5. Step 5: Solve for x
    x = 54,337,008,609/106,711.50
  6. Step 6: Final answer
    x = 509,195.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.