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Finding the Third Proportional to 201,099 and 281,092.50

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Solution

The third proportional to 201,099 and 281,092.50 is: 392,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099 : 281,092.50 = 281,092.50 : x
  2. Step 2: Convert to fraction form
    201,099/281,092.50 = 281,092.50/x
  3. Step 3: Cross multiply
    201,099x = 281,092.50 × 281,092.50
  4. Step 4: Simplify right side
    201,099x = 79,012,993,556.25
  5. Step 5: Solve for x
    x = 79,012,993,556.25/201,099
  6. Step 6: Final answer
    x = 392,905.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.