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Finding the Third Proportional to 103,890.09 and 223,670.11

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Solution

The third proportional to 103,890.09 and 223,670.11 is: 481,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,890.09 : 223,670.11 = 223,670.11 : x
  2. Step 2: Convert to fraction form
    103,890.09/223,670.11 = 223,670.11/x
  3. Step 3: Cross multiply
    103,890.09x = 223,670.11 × 223,670.11
  4. Step 4: Simplify right side
    103,890.09x = 50,028,317,827.82
  5. Step 5: Solve for x
    x = 50,028,317,827.82/103,890.09
  6. Step 6: Final answer
    x = 481,550.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.