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Finding the Third Proportional to 101,884 and 223,937

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Solution

The third proportional to 101,884 and 223,937 is: 492,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,884 : 223,937 = 223,937 : x
  2. Step 2: Convert to fraction form
    101,884/223,937 = 223,937/x
  3. Step 3: Cross multiply
    101,884x = 223,937 × 223,937
  4. Step 4: Simplify right side
    101,884x = 50,147,779,969
  5. Step 5: Solve for x
    x = 50,147,779,969/101,884
  6. Step 6: Final answer
    x = 492,204.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.