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Finding the Third Proportional to 64,196 and 149,993

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Solution

The third proportional to 64,196 and 149,993 is: 350,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196 : 149,993 = 149,993 : x
  2. Step 2: Convert to fraction form
    64,196/149,993 = 149,993/x
  3. Step 3: Cross multiply
    64,196x = 149,993 × 149,993
  4. Step 4: Simplify right side
    64,196x = 22,497,900,049
  5. Step 5: Solve for x
    x = 22,497,900,049/64,196
  6. Step 6: Final answer
    x = 350,456.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.