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Finding the Third Proportional to 97,912 and 214,481

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Solution

The third proportional to 97,912 and 214,481 is: 469,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912 : 214,481 = 214,481 : x
  2. Step 2: Convert to fraction form
    97,912/214,481 = 214,481/x
  3. Step 3: Cross multiply
    97,912x = 214,481 × 214,481
  4. Step 4: Simplify right side
    97,912x = 46,002,099,361
  5. Step 5: Solve for x
    x = 46,002,099,361/97,912
  6. Step 6: Final answer
    x = 469,831.07

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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.