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Finding the Third Proportional to 95,036 and 204,808

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Solution

The third proportional to 95,036 and 204,808 is: 441,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,036 : 204,808 = 204,808 : x
  2. Step 2: Convert to fraction form
    95,036/204,808 = 204,808/x
  3. Step 3: Cross multiply
    95,036x = 204,808 × 204,808
  4. Step 4: Simplify right side
    95,036x = 41,946,316,864
  5. Step 5: Solve for x
    x = 41,946,316,864/95,036
  6. Step 6: Final answer
    x = 441,372.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.