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Finding the Third Proportional to 46,183.25 and 99,273

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Solution

The third proportional to 46,183.25 and 99,273 is: 213,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183.25 : 99,273 = 99,273 : x
  2. Step 2: Convert to fraction form
    46,183.25/99,273 = 99,273/x
  3. Step 3: Cross multiply
    46,183.25x = 99,273 × 99,273
  4. Step 4: Simplify right side
    46,183.25x = 9,855,128,529
  5. Step 5: Solve for x
    x = 9,855,128,529/46,183.25
  6. Step 6: Final answer
    x = 213,391.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.