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Finding the Third Proportional to 104,249.53 and 227,210.06

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Solution

The third proportional to 104,249.53 and 227,210.06 is: 495,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249.53 : 227,210.06 = 227,210.06 : x
  2. Step 2: Convert to fraction form
    104,249.53/227,210.06 = 227,210.06/x
  3. Step 3: Cross multiply
    104,249.53x = 227,210.06 × 227,210.06
  4. Step 4: Simplify right side
    104,249.53x = 51,624,412,501.25
  5. Step 5: Solve for x
    x = 51,624,412,501.25/104,249.53
  6. Step 6: Final answer
    x = 495,200.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.