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Finding the Third Proportional to 106,456.50 and 231,813

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Solution

The third proportional to 106,456.50 and 231,813 is: 504,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.50 : 231,813 = 231,813 : x
  2. Step 2: Convert to fraction form
    106,456.50/231,813 = 231,813/x
  3. Step 3: Cross multiply
    106,456.50x = 231,813 × 231,813
  4. Step 4: Simplify right side
    106,456.50x = 53,737,266,969
  5. Step 5: Solve for x
    x = 53,737,266,969/106,456.50
  6. Step 6: Final answer
    x = 504,781.46

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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.