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Finding the Third Proportional to 94,564 and 204,887

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Solution

The third proportional to 94,564 and 204,887 is: 443,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,564 : 204,887 = 204,887 : x
  2. Step 2: Convert to fraction form
    94,564/204,887 = 204,887/x
  3. Step 3: Cross multiply
    94,564x = 204,887 × 204,887
  4. Step 4: Simplify right side
    94,564x = 41,978,682,769
  5. Step 5: Solve for x
    x = 41,978,682,769/94,564
  6. Step 6: Final answer
    x = 443,918.22

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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.