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Finding the Third Proportional to 99,842 and 216,295

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Solution

The third proportional to 99,842 and 216,295 is: 468,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842 : 216,295 = 216,295 : x
  2. Step 2: Convert to fraction form
    99,842/216,295 = 216,295/x
  3. Step 3: Cross multiply
    99,842x = 216,295 × 216,295
  4. Step 4: Simplify right side
    99,842x = 46,783,527,025
  5. Step 5: Solve for x
    x = 46,783,527,025/99,842
  6. Step 6: Final answer
    x = 468,575.62

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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.