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Finding the Third Proportional to 103,820.06 and 225,649.13

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Solution

The third proportional to 103,820.06 and 225,649.13 is: 490,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820.06 : 225,649.13 = 225,649.13 : x
  2. Step 2: Convert to fraction form
    103,820.06/225,649.13 = 225,649.13/x
  3. Step 3: Cross multiply
    103,820.06x = 225,649.13 × 225,649.13
  4. Step 4: Simplify right side
    103,820.06x = 50,917,527,613.27
  5. Step 5: Solve for x
    x = 50,917,527,613.27/103,820.06
  6. Step 6: Final answer
    x = 490,440.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.