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Finding the Third Proportional to 44,997 and 98,469

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Solution

The third proportional to 44,997 and 98,469 is: 215,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,997 : 98,469 = 98,469 : x
  2. Step 2: Convert to fraction form
    44,997/98,469 = 98,469/x
  3. Step 3: Cross multiply
    44,997x = 98,469 × 98,469
  4. Step 4: Simplify right side
    44,997x = 9,696,143,961
  5. Step 5: Solve for x
    x = 9,696,143,961/44,997
  6. Step 6: Final answer
    x = 215,484.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.