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Finding the Third Proportional to 94,236.75 and 205,094.25

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Solution

The third proportional to 94,236.75 and 205,094.25 is: 446,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,236.75 : 205,094.25 = 205,094.25 : x
  2. Step 2: Convert to fraction form
    94,236.75/205,094.25 = 205,094.25/x
  3. Step 3: Cross multiply
    94,236.75x = 205,094.25 × 205,094.25
  4. Step 4: Simplify right side
    94,236.75x = 42,063,651,383.06
  5. Step 5: Solve for x
    x = 42,063,651,383.06/94,236.75
  6. Step 6: Final answer
    x = 446,361.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.