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Finding the Third Proportional to 99,703 and 216,901

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Solution

The third proportional to 99,703 and 216,901 is: 471,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,703 : 216,901 = 216,901 : x
  2. Step 2: Convert to fraction form
    99,703/216,901 = 216,901/x
  3. Step 3: Cross multiply
    99,703x = 216,901 × 216,901
  4. Step 4: Simplify right side
    99,703x = 47,046,043,801
  5. Step 5: Solve for x
    x = 47,046,043,801/99,703
  6. Step 6: Final answer
    x = 471,861.87

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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.