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Finding the Third Proportional to 94,086 and 203,506.50

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Solution

The third proportional to 94,086 and 203,506.50 is: 440,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,086 : 203,506.50 = 203,506.50 : x
  2. Step 2: Convert to fraction form
    94,086/203,506.50 = 203,506.50/x
  3. Step 3: Cross multiply
    94,086x = 203,506.50 × 203,506.50
  4. Step 4: Simplify right side
    94,086x = 41,414,895,542.25
  5. Step 5: Solve for x
    x = 41,414,895,542.25/94,086
  6. Step 6: Final answer
    x = 440,181.28

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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.