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Finding the Third Proportional to 90,670 and 197,471

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Solution

The third proportional to 90,670 and 197,471 is: 430,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,670 : 197,471 = 197,471 : x
  2. Step 2: Convert to fraction form
    90,670/197,471 = 197,471/x
  3. Step 3: Cross multiply
    90,670x = 197,471 × 197,471
  4. Step 4: Simplify right side
    90,670x = 38,994,795,841
  5. Step 5: Solve for x
    x = 38,994,795,841/90,670
  6. Step 6: Final answer
    x = 430,073.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.