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Finding the Third Proportional to 46,362 and 99,811

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Solution

The third proportional to 46,362 and 99,811 is: 214,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,362 : 99,811 = 99,811 : x
  2. Step 2: Convert to fraction form
    46,362/99,811 = 99,811/x
  3. Step 3: Cross multiply
    46,362x = 99,811 × 99,811
  4. Step 4: Simplify right side
    46,362x = 9,962,235,721
  5. Step 5: Solve for x
    x = 9,962,235,721/46,362
  6. Step 6: Final answer
    x = 214,879.33

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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.