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Finding the Third Proportional to 106,989.75 and 231,111

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Solution

The third proportional to 106,989.75 and 231,111 is: 499,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.75 : 231,111 = 231,111 : x
  2. Step 2: Convert to fraction form
    106,989.75/231,111 = 231,111/x
  3. Step 3: Cross multiply
    106,989.75x = 231,111 × 231,111
  4. Step 4: Simplify right side
    106,989.75x = 53,412,294,321
  5. Step 5: Solve for x
    x = 53,412,294,321/106,989.75
  6. Step 6: Final answer
    x = 499,228.14

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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.