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Finding the Third Proportional to 98,662.50 and 213,090.75

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Solution

The third proportional to 98,662.50 and 213,090.75 is: 460,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,662.50 : 213,090.75 = 213,090.75 : x
  2. Step 2: Convert to fraction form
    98,662.50/213,090.75 = 213,090.75/x
  3. Step 3: Cross multiply
    98,662.50x = 213,090.75 × 213,090.75
  4. Step 4: Simplify right side
    98,662.50x = 45,407,667,735.56
  5. Step 5: Solve for x
    x = 45,407,667,735.56/98,662.50
  6. Step 6: Final answer
    x = 460,232.28

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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.