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Finding the Third Proportional to 98,670 and 217,023

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Solution

The third proportional to 98,670 and 217,023 is: 477,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,670 : 217,023 = 217,023 : x
  2. Step 2: Convert to fraction form
    98,670/217,023 = 217,023/x
  3. Step 3: Cross multiply
    98,670x = 217,023 × 217,023
  4. Step 4: Simplify right side
    98,670x = 47,098,982,529
  5. Step 5: Solve for x
    x = 47,098,982,529/98,670
  6. Step 6: Final answer
    x = 477,338.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.