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Finding the Third Proportional to 100,387.13 and 226,053.56

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Solution

The third proportional to 100,387.13 and 226,053.56 is: 509,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.13 : 226,053.56 = 226,053.56 : x
  2. Step 2: Convert to fraction form
    100,387.13/226,053.56 = 226,053.56/x
  3. Step 3: Cross multiply
    100,387.13x = 226,053.56 × 226,053.56
  4. Step 4: Simplify right side
    100,387.13x = 51,100,213,118.94
  5. Step 5: Solve for x
    x = 51,100,213,118.94/100,387.13
  6. Step 6: Final answer
    x = 509,031.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.