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Finding the Third Proportional to 95,546 and 204,484

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Solution

The third proportional to 95,546 and 204,484 is: 437,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,546 : 204,484 = 204,484 : x
  2. Step 2: Convert to fraction form
    95,546/204,484 = 204,484/x
  3. Step 3: Cross multiply
    95,546x = 204,484 × 204,484
  4. Step 4: Simplify right side
    95,546x = 41,813,706,256
  5. Step 5: Solve for x
    x = 41,813,706,256/95,546
  6. Step 6: Final answer
    x = 437,629.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.