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Finding the Third Proportional to 98,679 and 217,041

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Solution

The third proportional to 98,679 and 217,041 is: 477,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,679 : 217,041 = 217,041 : x
  2. Step 2: Convert to fraction form
    98,679/217,041 = 217,041/x
  3. Step 3: Cross multiply
    98,679x = 217,041 × 217,041
  4. Step 4: Simplify right side
    98,679x = 47,106,795,681
  5. Step 5: Solve for x
    x = 47,106,795,681/98,679
  6. Step 6: Final answer
    x = 477,374.07

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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.