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Finding the Third Proportional to 99,441 and 216,372

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Solution

The third proportional to 99,441 and 216,372 is: 470,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,441 : 216,372 = 216,372 : x
  2. Step 2: Convert to fraction form
    99,441/216,372 = 216,372/x
  3. Step 3: Cross multiply
    99,441x = 216,372 × 216,372
  4. Step 4: Simplify right side
    99,441x = 46,816,842,384
  5. Step 5: Solve for x
    x = 46,816,842,384/99,441
  6. Step 6: Final answer
    x = 470,800.20

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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.