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Finding the Third Proportional to 103,709.63 and 226,190.25

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Solution

The third proportional to 103,709.63 and 226,190.25 is: 493,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709.63 : 226,190.25 = 226,190.25 : x
  2. Step 2: Convert to fraction form
    103,709.63/226,190.25 = 226,190.25/x
  3. Step 3: Cross multiply
    103,709.63x = 226,190.25 × 226,190.25
  4. Step 4: Simplify right side
    103,709.63x = 51,162,029,195.06
  5. Step 5: Solve for x
    x = 51,162,029,195.06/103,709.63
  6. Step 6: Final answer
    x = 493,319.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.