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Finding the Third Proportional to 104,763.38 and 226,136.81

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Solution

The third proportional to 104,763.38 and 226,136.81 is: 488,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,763.38 : 226,136.81 = 226,136.81 : x
  2. Step 2: Convert to fraction form
    104,763.38/226,136.81 = 226,136.81/x
  3. Step 3: Cross multiply
    104,763.38x = 226,136.81 × 226,136.81
  4. Step 4: Simplify right side
    104,763.38x = 51,137,857,967.66
  5. Step 5: Solve for x
    x = 51,137,857,967.66/104,763.38
  6. Step 6: Final answer
    x = 488,127.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.