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Finding the Third Proportional to 92,409.50 and 201,404

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Solution

The third proportional to 92,409.50 and 201,404 is: 438,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,409.50 : 201,404 = 201,404 : x
  2. Step 2: Convert to fraction form
    92,409.50/201,404 = 201,404/x
  3. Step 3: Cross multiply
    92,409.50x = 201,404 × 201,404
  4. Step 4: Simplify right side
    92,409.50x = 40,563,571,216
  5. Step 5: Solve for x
    x = 40,563,571,216/92,409.50
  6. Step 6: Final answer
    x = 438,954.56

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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.