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Finding the Third Proportional to 100,269 and 216,900

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Solution

The third proportional to 100,269 and 216,900 is: 469,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,269 : 216,900 = 216,900 : x
  2. Step 2: Convert to fraction form
    100,269/216,900 = 216,900/x
  3. Step 3: Cross multiply
    100,269x = 216,900 × 216,900
  4. Step 4: Simplify right side
    100,269x = 47,045,610,000
  5. Step 5: Solve for x
    x = 47,045,610,000/100,269
  6. Step 6: Final answer
    x = 469,193.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.