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Finding the Third Proportional to 102,536 and 219,651

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Solution

The third proportional to 102,536 and 219,651 is: 470,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536 : 219,651 = 219,651 : x
  2. Step 2: Convert to fraction form
    102,536/219,651 = 219,651/x
  3. Step 3: Cross multiply
    102,536x = 219,651 × 219,651
  4. Step 4: Simplify right side
    102,536x = 48,246,561,801
  5. Step 5: Solve for x
    x = 48,246,561,801/102,536
  6. Step 6: Final answer
    x = 470,532.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.