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Finding the Third Proportional to 95,029 and 204,097

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Solution

The third proportional to 95,029 and 204,097 is: 438,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,029 : 204,097 = 204,097 : x
  2. Step 2: Convert to fraction form
    95,029/204,097 = 204,097/x
  3. Step 3: Cross multiply
    95,029x = 204,097 × 204,097
  4. Step 4: Simplify right side
    95,029x = 41,655,585,409
  5. Step 5: Solve for x
    x = 41,655,585,409/95,029
  6. Step 6: Final answer
    x = 438,346.04

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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.