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Finding the Third Proportional to 102,601.69 and 223,699.22

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Solution

The third proportional to 102,601.69 and 223,699.22 is: 487,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.69 : 223,699.22 = 223,699.22 : x
  2. Step 2: Convert to fraction form
    102,601.69/223,699.22 = 223,699.22/x
  3. Step 3: Cross multiply
    102,601.69x = 223,699.22 × 223,699.22
  4. Step 4: Simplify right side
    102,601.69x = 50,041,340,469.36
  5. Step 5: Solve for x
    x = 50,041,340,469.36/102,601.69
  6. Step 6: Final answer
    x = 487,724.34

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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.