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Finding the Third Proportional to 98,626 and 209,538

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Solution

The third proportional to 98,626 and 209,538 is: 445,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,626 : 209,538 = 209,538 : x
  2. Step 2: Convert to fraction form
    98,626/209,538 = 209,538/x
  3. Step 3: Cross multiply
    98,626x = 209,538 × 209,538
  4. Step 4: Simplify right side
    98,626x = 43,906,173,444
  5. Step 5: Solve for x
    x = 43,906,173,444/98,626
  6. Step 6: Final answer
    x = 445,178.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.