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Finding the Third Proportional to 102,003 and 219,059

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Solution

The third proportional to 102,003 and 219,059 is: 470,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003 : 219,059 = 219,059 : x
  2. Step 2: Convert to fraction form
    102,003/219,059 = 219,059/x
  3. Step 3: Cross multiply
    102,003x = 219,059 × 219,059
  4. Step 4: Simplify right side
    102,003x = 47,986,845,481
  5. Step 5: Solve for x
    x = 47,986,845,481/102,003
  6. Step 6: Final answer
    x = 470,445.43

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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.