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Finding the Third Proportional to 89,158.50 and 194,310

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Solution

The third proportional to 89,158.50 and 194,310 is: 423,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,158.50 : 194,310 = 194,310 : x
  2. Step 2: Convert to fraction form
    89,158.50/194,310 = 194,310/x
  3. Step 3: Cross multiply
    89,158.50x = 194,310 × 194,310
  4. Step 4: Simplify right side
    89,158.50x = 37,756,376,100
  5. Step 5: Solve for x
    x = 37,756,376,100/89,158.50
  6. Step 6: Final answer
    x = 423,474.78

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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.