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Finding the Third Proportional to 104,617.20 and 226,636.42

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Solution

The third proportional to 104,617.20 and 226,636.42 is: 490,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,617.20 : 226,636.42 = 226,636.42 : x
  2. Step 2: Convert to fraction form
    104,617.20/226,636.42 = 226,636.42/x
  3. Step 3: Cross multiply
    104,617.20x = 226,636.42 × 226,636.42
  4. Step 4: Simplify right side
    104,617.20x = 51,364,065,949.71
  5. Step 5: Solve for x
    x = 51,364,065,949.71/104,617.20
  6. Step 6: Final answer
    x = 490,971.54

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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.