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Finding the Third Proportional to 94,818 and 204,579

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Solution

The third proportional to 94,818 and 204,579 is: 441,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,818 : 204,579 = 204,579 : x
  2. Step 2: Convert to fraction form
    94,818/204,579 = 204,579/x
  3. Step 3: Cross multiply
    94,818x = 204,579 × 204,579
  4. Step 4: Simplify right side
    94,818x = 41,852,567,241
  5. Step 5: Solve for x
    x = 41,852,567,241/94,818
  6. Step 6: Final answer
    x = 441,398.97

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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.