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Finding the Third Proportional to 105,602 and 219,910

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Solution

The third proportional to 105,602 and 219,910 is: 457,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602 : 219,910 = 219,910 : x
  2. Step 2: Convert to fraction form
    105,602/219,910 = 219,910/x
  3. Step 3: Cross multiply
    105,602x = 219,910 × 219,910
  4. Step 4: Simplify right side
    105,602x = 48,360,408,100
  5. Step 5: Solve for x
    x = 48,360,408,100/105,602
  6. Step 6: Final answer
    x = 457,949.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.