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Finding the Third Proportional to 99,263 and 216,022

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Solution

The third proportional to 99,263 and 216,022 is: 470,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,263 : 216,022 = 216,022 : x
  2. Step 2: Convert to fraction form
    99,263/216,022 = 216,022/x
  3. Step 3: Cross multiply
    99,263x = 216,022 × 216,022
  4. Step 4: Simplify right side
    99,263x = 46,665,504,484
  5. Step 5: Solve for x
    x = 46,665,504,484/99,263
  6. Step 6: Final answer
    x = 470,119.83

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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.