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Finding the Third Proportional to 105,818 and 220,404

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Solution

The third proportional to 105,818 and 220,404 is: 459,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,818 : 220,404 = 220,404 : x
  2. Step 2: Convert to fraction form
    105,818/220,404 = 220,404/x
  3. Step 3: Cross multiply
    105,818x = 220,404 × 220,404
  4. Step 4: Simplify right side
    105,818x = 48,577,923,216
  5. Step 5: Solve for x
    x = 48,577,923,216/105,818
  6. Step 6: Final answer
    x = 459,070.51

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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.