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Finding the Third Proportional to 103,646 and 219,747

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Solution

The third proportional to 103,646 and 219,747 is: 465,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646 : 219,747 = 219,747 : x
  2. Step 2: Convert to fraction form
    103,646/219,747 = 219,747/x
  3. Step 3: Cross multiply
    103,646x = 219,747 × 219,747
  4. Step 4: Simplify right side
    103,646x = 48,288,744,009
  5. Step 5: Solve for x
    x = 48,288,744,009/103,646
  6. Step 6: Final answer
    x = 465,900.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.