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Finding the Third Proportional to 90,199.50 and 194,700

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Solution

The third proportional to 90,199.50 and 194,700 is: 420,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,199.50 : 194,700 = 194,700 : x
  2. Step 2: Convert to fraction form
    90,199.50/194,700 = 194,700/x
  3. Step 3: Cross multiply
    90,199.50x = 194,700 × 194,700
  4. Step 4: Simplify right side
    90,199.50x = 37,908,090,000
  5. Step 5: Solve for x
    x = 37,908,090,000/90,199.50
  6. Step 6: Final answer
    x = 420,269.40

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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.