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Finding the Third Proportional to 94,565 and 204,889

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Solution

The third proportional to 94,565 and 204,889 is: 443,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,565 : 204,889 = 204,889 : x
  2. Step 2: Convert to fraction form
    94,565/204,889 = 204,889/x
  3. Step 3: Cross multiply
    94,565x = 204,889 × 204,889
  4. Step 4: Simplify right side
    94,565x = 41,979,502,321
  5. Step 5: Solve for x
    x = 41,979,502,321/94,565
  6. Step 6: Final answer
    x = 443,922.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.