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Finding the Third Proportional to 94,691 and 204,145

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Solution

The third proportional to 94,691 and 204,145 is: 440,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,691 : 204,145 = 204,145 : x
  2. Step 2: Convert to fraction form
    94,691/204,145 = 204,145/x
  3. Step 3: Cross multiply
    94,691x = 204,145 × 204,145
  4. Step 4: Simplify right side
    94,691x = 41,675,181,025
  5. Step 5: Solve for x
    x = 41,675,181,025/94,691
  6. Step 6: Final answer
    x = 440,117.66

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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.