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Finding the Third Proportional to 98,463 and 215,993

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Solution

The third proportional to 98,463 and 215,993 is: 473,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463 : 215,993 = 215,993 : x
  2. Step 2: Convert to fraction form
    98,463/215,993 = 215,993/x
  3. Step 3: Cross multiply
    98,463x = 215,993 × 215,993
  4. Step 4: Simplify right side
    98,463x = 46,652,976,049
  5. Step 5: Solve for x
    x = 46,652,976,049/98,463
  6. Step 6: Final answer
    x = 473,812.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.