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Finding the Third Proportional to 100,894 and 219,260

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Solution

The third proportional to 100,894 and 219,260 is: 476,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894 : 219,260 = 219,260 : x
  2. Step 2: Convert to fraction form
    100,894/219,260 = 219,260/x
  3. Step 3: Cross multiply
    100,894x = 219,260 × 219,260
  4. Step 4: Simplify right side
    100,894x = 48,074,947,600
  5. Step 5: Solve for x
    x = 48,074,947,600/100,894
  6. Step 6: Final answer
    x = 476,489.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.