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Finding the Third Proportional to 103,936.50 and 227,657.25

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Solution

The third proportional to 103,936.50 and 227,657.25 is: 498,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,936.50 : 227,657.25 = 227,657.25 : x
  2. Step 2: Convert to fraction form
    103,936.50/227,657.25 = 227,657.25/x
  3. Step 3: Cross multiply
    103,936.50x = 227,657.25 × 227,657.25
  4. Step 4: Simplify right side
    103,936.50x = 51,827,823,477.56
  5. Step 5: Solve for x
    x = 51,827,823,477.56/103,936.50
  6. Step 6: Final answer
    x = 498,648.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.