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Finding the Third Proportional to 98,723 and 213,206

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Solution

The third proportional to 98,723 and 213,206 is: 460,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,723 : 213,206 = 213,206 : x
  2. Step 2: Convert to fraction form
    98,723/213,206 = 213,206/x
  3. Step 3: Cross multiply
    98,723x = 213,206 × 213,206
  4. Step 4: Simplify right side
    98,723x = 45,456,798,436
  5. Step 5: Solve for x
    x = 45,456,798,436/98,723
  6. Step 6: Final answer
    x = 460,447.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.