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Finding the Third Proportional to 109,660.50 and 227,935.50

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Solution

The third proportional to 109,660.50 and 227,935.50 is: 473,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,660.50 : 227,935.50 = 227,935.50 : x
  2. Step 2: Convert to fraction form
    109,660.50/227,935.50 = 227,935.50/x
  3. Step 3: Cross multiply
    109,660.50x = 227,935.50 × 227,935.50
  4. Step 4: Simplify right side
    109,660.50x = 51,954,592,160.25
  5. Step 5: Solve for x
    x = 51,954,592,160.25/109,660.50
  6. Step 6: Final answer
    x = 473,776.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.