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Finding the Third Proportional to 94,953 and 204,954

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Solution

The third proportional to 94,953 and 204,954 is: 442,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,953 : 204,954 = 204,954 : x
  2. Step 2: Convert to fraction form
    94,953/204,954 = 204,954/x
  3. Step 3: Cross multiply
    94,953x = 204,954 × 204,954
  4. Step 4: Simplify right side
    94,953x = 42,006,142,116
  5. Step 5: Solve for x
    x = 42,006,142,116/94,953
  6. Step 6: Final answer
    x = 442,388.78

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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.