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Finding the Third Proportional to 104,835.38 and 226,269.28

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Solution

The third proportional to 104,835.38 and 226,269.28 is: 488,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,835.38 : 226,269.28 = 226,269.28 : x
  2. Step 2: Convert to fraction form
    104,835.38/226,269.28 = 226,269.28/x
  3. Step 3: Cross multiply
    104,835.38x = 226,269.28 × 226,269.28
  4. Step 4: Simplify right side
    104,835.38x = 51,197,787,637.39
  5. Step 5: Solve for x
    x = 51,197,787,637.39/104,835.38
  6. Step 6: Final answer
    x = 488,363.66

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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.