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Finding the Third Proportional to 103,533 and 223,992

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Solution

The third proportional to 103,533 and 223,992 is: 484,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,533 : 223,992 = 223,992 : x
  2. Step 2: Convert to fraction form
    103,533/223,992 = 223,992/x
  3. Step 3: Cross multiply
    103,533x = 223,992 × 223,992
  4. Step 4: Simplify right side
    103,533x = 50,172,416,064
  5. Step 5: Solve for x
    x = 50,172,416,064/103,533
  6. Step 6: Final answer
    x = 484,603.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.