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Finding the Third Proportional to 99,846 and 216,306

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Solution

The third proportional to 99,846 and 216,306 is: 468,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846 : 216,306 = 216,306 : x
  2. Step 2: Convert to fraction form
    99,846/216,306 = 216,306/x
  3. Step 3: Cross multiply
    99,846x = 216,306 × 216,306
  4. Step 4: Simplify right side
    99,846x = 46,788,285,636
  5. Step 5: Solve for x
    x = 46,788,285,636/99,846
  6. Step 6: Final answer
    x = 468,604.51

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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.