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Finding the Third Proportional to 94,811 and 204,805.50

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Solution

The third proportional to 94,811 and 204,805.50 is: 442,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,811 : 204,805.50 = 204,805.50 : x
  2. Step 2: Convert to fraction form
    94,811/204,805.50 = 204,805.50/x
  3. Step 3: Cross multiply
    94,811x = 204,805.50 × 204,805.50
  4. Step 4: Simplify right side
    94,811x = 41,945,292,830.25
  5. Step 5: Solve for x
    x = 41,945,292,830.25/94,811
  6. Step 6: Final answer
    x = 442,409.56

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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.