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Finding the Third Proportional to 99,825 and 216,903

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Solution

The third proportional to 99,825 and 216,903 is: 471,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825 : 216,903 = 216,903 : x
  2. Step 2: Convert to fraction form
    99,825/216,903 = 216,903/x
  3. Step 3: Cross multiply
    99,825x = 216,903 × 216,903
  4. Step 4: Simplify right side
    99,825x = 47,046,911,409
  5. Step 5: Solve for x
    x = 47,046,911,409/99,825
  6. Step 6: Final answer
    x = 471,293.88

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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.