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Finding the Third Proportional to 99,616 and 213,326

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Solution

The third proportional to 99,616 and 213,326 is: 456,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,616 : 213,326 = 213,326 : x
  2. Step 2: Convert to fraction form
    99,616/213,326 = 213,326/x
  3. Step 3: Cross multiply
    99,616x = 213,326 × 213,326
  4. Step 4: Simplify right side
    99,616x = 45,507,982,276
  5. Step 5: Solve for x
    x = 45,507,982,276/99,616
  6. Step 6: Final answer
    x = 456,834.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.