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Finding the Third Proportional to 99,302 and 216,446

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Solution

The third proportional to 99,302 and 216,446 is: 471,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,302 : 216,446 = 216,446 : x
  2. Step 2: Convert to fraction form
    99,302/216,446 = 216,446/x
  3. Step 3: Cross multiply
    99,302x = 216,446 × 216,446
  4. Step 4: Simplify right side
    99,302x = 46,848,870,916
  5. Step 5: Solve for x
    x = 46,848,870,916/99,302
  6. Step 6: Final answer
    x = 471,781.75

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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.