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Finding the Third Proportional to 99,295 and 216,061

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Solution

The third proportional to 99,295 and 216,061 is: 470,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,295 : 216,061 = 216,061 : x
  2. Step 2: Convert to fraction form
    99,295/216,061 = 216,061/x
  3. Step 3: Cross multiply
    99,295x = 216,061 × 216,061
  4. Step 4: Simplify right side
    99,295x = 46,682,355,721
  5. Step 5: Solve for x
    x = 46,682,355,721/99,295
  6. Step 6: Final answer
    x = 470,138.03

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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.