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Finding the Third Proportional to 94,675.50 and 204,113.25

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Solution

The third proportional to 94,675.50 and 204,113.25 is: 440,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,675.50 : 204,113.25 = 204,113.25 : x
  2. Step 2: Convert to fraction form
    94,675.50/204,113.25 = 204,113.25/x
  3. Step 3: Cross multiply
    94,675.50x = 204,113.25 × 204,113.25
  4. Step 4: Simplify right side
    94,675.50x = 41,662,218,825.56
  5. Step 5: Solve for x
    x = 41,662,218,825.56/94,675.50
  6. Step 6: Final answer
    x = 440,052.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.