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Finding the Third Proportional to 109,660.50 and 227,937

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Solution

The third proportional to 109,660.50 and 227,937 is: 473,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,660.50 : 227,937 = 227,937 : x
  2. Step 2: Convert to fraction form
    109,660.50/227,937 = 227,937/x
  3. Step 3: Cross multiply
    109,660.50x = 227,937 × 227,937
  4. Step 4: Simplify right side
    109,660.50x = 51,955,275,969
  5. Step 5: Solve for x
    x = 51,955,275,969/109,660.50
  6. Step 6: Final answer
    x = 473,782.96

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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.