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Finding the Third Proportional to 98,660 and 213,086

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Solution

The third proportional to 98,660 and 213,086 is: 460,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,660 : 213,086 = 213,086 : x
  2. Step 2: Convert to fraction form
    98,660/213,086 = 213,086/x
  3. Step 3: Cross multiply
    98,660x = 213,086 × 213,086
  4. Step 4: Simplify right side
    98,660x = 45,405,643,396
  5. Step 5: Solve for x
    x = 45,405,643,396/98,660
  6. Step 6: Final answer
    x = 460,223.43

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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.