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Finding the Third Proportional to 46,333 and 99,809

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Solution

The third proportional to 46,333 and 99,809 is: 215,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,333 : 99,809 = 99,809 : x
  2. Step 2: Convert to fraction form
    46,333/99,809 = 99,809/x
  3. Step 3: Cross multiply
    46,333x = 99,809 × 99,809
  4. Step 4: Simplify right side
    46,333x = 9,961,836,481
  5. Step 5: Solve for x
    x = 9,961,836,481/46,333
  6. Step 6: Final answer
    x = 215,005.21

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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.