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Finding the Third Proportional to 98,619 and 215,652

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Solution

The third proportional to 98,619 and 215,652 is: 471,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619 : 215,652 = 215,652 : x
  2. Step 2: Convert to fraction form
    98,619/215,652 = 215,652/x
  3. Step 3: Cross multiply
    98,619x = 215,652 × 215,652
  4. Step 4: Simplify right side
    98,619x = 46,505,785,104
  5. Step 5: Solve for x
    x = 46,505,785,104/98,619
  6. Step 6: Final answer
    x = 471,570.24

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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.