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Finding the Third Proportional to 105,189 and 226,416

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Solution

The third proportional to 105,189 and 226,416 is: 487,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189 : 226,416 = 226,416 : x
  2. Step 2: Convert to fraction form
    105,189/226,416 = 226,416/x
  3. Step 3: Cross multiply
    105,189x = 226,416 × 226,416
  4. Step 4: Simplify right side
    105,189x = 51,264,205,056
  5. Step 5: Solve for x
    x = 51,264,205,056/105,189
  6. Step 6: Final answer
    x = 487,353.29

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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.