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Finding the Third Proportional to 102,914 and 223,869

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Solution

The third proportional to 102,914 and 223,869 is: 486,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914 : 223,869 = 223,869 : x
  2. Step 2: Convert to fraction form
    102,914/223,869 = 223,869/x
  3. Step 3: Cross multiply
    102,914x = 223,869 × 223,869
  4. Step 4: Simplify right side
    102,914x = 50,117,329,161
  5. Step 5: Solve for x
    x = 50,117,329,161/102,914
  6. Step 6: Final answer
    x = 486,982.62

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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.