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Finding the Third Proportional to 46,422 and 99,109

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Solution

The third proportional to 46,422 and 99,109 is: 211,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,422 : 99,109 = 99,109 : x
  2. Step 2: Convert to fraction form
    46,422/99,109 = 99,109/x
  3. Step 3: Cross multiply
    46,422x = 99,109 × 99,109
  4. Step 4: Simplify right side
    46,422x = 9,822,593,881
  5. Step 5: Solve for x
    x = 9,822,593,881/46,422
  6. Step 6: Final answer
    x = 211,593.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.