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Finding the Third Proportional to 97,266 and 214,944

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Solution

The third proportional to 97,266 and 214,944 is: 474,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266 : 214,944 = 214,944 : x
  2. Step 2: Convert to fraction form
    97,266/214,944 = 214,944/x
  3. Step 3: Cross multiply
    97,266x = 214,944 × 214,944
  4. Step 4: Simplify right side
    97,266x = 46,200,923,136
  5. Step 5: Solve for x
    x = 46,200,923,136/97,266
  6. Step 6: Final answer
    x = 474,995.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.