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Finding the Third Proportional to 105,801.82 and 230,882.27

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Solution

The third proportional to 105,801.82 and 230,882.27 is: 503,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801.82 : 230,882.27 = 230,882.27 : x
  2. Step 2: Convert to fraction form
    105,801.82/230,882.27 = 230,882.27/x
  3. Step 3: Cross multiply
    105,801.82x = 230,882.27 × 230,882.27
  4. Step 4: Simplify right side
    105,801.82x = 53,306,624,187.67
  5. Step 5: Solve for x
    x = 53,306,624,187.67/105,801.82
  6. Step 6: Final answer
    x = 503,834.66

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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.