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Finding the Third Proportional to 100,966.50 and 220,269

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Solution

The third proportional to 100,966.50 and 220,269 is: 480,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.50 : 220,269 = 220,269 : x
  2. Step 2: Convert to fraction form
    100,966.50/220,269 = 220,269/x
  3. Step 3: Cross multiply
    100,966.50x = 220,269 × 220,269
  4. Step 4: Simplify right side
    100,966.50x = 48,518,432,361
  5. Step 5: Solve for x
    x = 48,518,432,361/100,966.50
  6. Step 6: Final answer
    x = 480,539.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.