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Finding the Third Proportional to 199,100.25 and 433,188

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Solution

The third proportional to 199,100.25 and 433,188 is: 942,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,100.25 : 433,188 = 433,188 : x
  2. Step 2: Convert to fraction form
    199,100.25/433,188 = 433,188/x
  3. Step 3: Cross multiply
    199,100.25x = 433,188 × 433,188
  4. Step 4: Simplify right side
    199,100.25x = 187,651,843,344
  5. Step 5: Solve for x
    x = 187,651,843,344/199,100.25
  6. Step 6: Final answer
    x = 942,499.29

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