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Finding the Third Proportional to 98,932 and 214,276

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Solution

The third proportional to 98,932 and 214,276 is: 464,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,932 : 214,276 = 214,276 : x
  2. Step 2: Convert to fraction form
    98,932/214,276 = 214,276/x
  3. Step 3: Cross multiply
    98,932x = 214,276 × 214,276
  4. Step 4: Simplify right side
    98,932x = 45,914,204,176
  5. Step 5: Solve for x
    x = 45,914,204,176/98,932
  6. Step 6: Final answer
    x = 464,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.