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Finding the Third Proportional to 106,609.50 and 232,017.75

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Solution

The third proportional to 106,609.50 and 232,017.75 is: 504,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609.50 : 232,017.75 = 232,017.75 : x
  2. Step 2: Convert to fraction form
    106,609.50/232,017.75 = 232,017.75/x
  3. Step 3: Cross multiply
    106,609.50x = 232,017.75 × 232,017.75
  4. Step 4: Simplify right side
    106,609.50x = 53,832,236,315.06
  5. Step 5: Solve for x
    x = 53,832,236,315.06/106,609.50
  6. Step 6: Final answer
    x = 504,947.84

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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.