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Finding the Third Proportional to 94,817.25 and 201,325.50

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Solution

The third proportional to 94,817.25 and 201,325.50 is: 427,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,817.25 : 201,325.50 = 201,325.50 : x
  2. Step 2: Convert to fraction form
    94,817.25/201,325.50 = 201,325.50/x
  3. Step 3: Cross multiply
    94,817.25x = 201,325.50 × 201,325.50
  4. Step 4: Simplify right side
    94,817.25x = 40,531,956,950.25
  5. Step 5: Solve for x
    x = 40,531,956,950.25/94,817.25
  6. Step 6: Final answer
    x = 427,474.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.