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Finding the Third Proportional to 100,298.25 and 222,739.88

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Solution

The third proportional to 100,298.25 and 222,739.88 is: 494,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.25 : 222,739.88 = 222,739.88 : x
  2. Step 2: Convert to fraction form
    100,298.25/222,739.88 = 222,739.88/x
  3. Step 3: Cross multiply
    100,298.25x = 222,739.88 × 222,739.88
  4. Step 4: Simplify right side
    100,298.25x = 49,613,051,915.02
  5. Step 5: Solve for x
    x = 49,613,051,915.02/100,298.25
  6. Step 6: Final answer
    x = 494,655.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.