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Finding the Third Proportional to 90,913.50 and 193,491

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Solution

The third proportional to 90,913.50 and 193,491 is: 411,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,913.50 : 193,491 = 193,491 : x
  2. Step 2: Convert to fraction form
    90,913.50/193,491 = 193,491/x
  3. Step 3: Cross multiply
    90,913.50x = 193,491 × 193,491
  4. Step 4: Simplify right side
    90,913.50x = 37,438,767,081
  5. Step 5: Solve for x
    x = 37,438,767,081/90,913.50
  6. Step 6: Final answer
    x = 411,806.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.