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Finding the Third Proportional to 90,911 and 193,486

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Solution

The third proportional to 90,911 and 193,486 is: 411,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,911 : 193,486 = 193,486 : x
  2. Step 2: Convert to fraction form
    90,911/193,486 = 193,486/x
  3. Step 3: Cross multiply
    90,911x = 193,486 × 193,486
  4. Step 4: Simplify right side
    90,911x = 37,436,832,196
  5. Step 5: Solve for x
    x = 37,436,832,196/90,911
  6. Step 6: Final answer
    x = 411,796.51

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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.