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Finding the Third Proportional to 103,163.63 and 226,009.13

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Solution

The third proportional to 103,163.63 and 226,009.13 is: 495,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,163.63 : 226,009.13 = 226,009.13 : x
  2. Step 2: Convert to fraction form
    103,163.63/226,009.13 = 226,009.13/x
  3. Step 3: Cross multiply
    103,163.63x = 226,009.13 × 226,009.13
  4. Step 4: Simplify right side
    103,163.63x = 51,080,124,583.27
  5. Step 5: Solve for x
    x = 51,080,124,583.27/103,163.63
  6. Step 6: Final answer
    x = 495,136.97

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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.