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Finding the Third Proportional to 97,848 and 214,449

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Solution

The third proportional to 97,848 and 214,449 is: 469,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848 : 214,449 = 214,449 : x
  2. Step 2: Convert to fraction form
    97,848/214,449 = 214,449/x
  3. Step 3: Cross multiply
    97,848x = 214,449 × 214,449
  4. Step 4: Simplify right side
    97,848x = 45,988,373,601
  5. Step 5: Solve for x
    x = 45,988,373,601/97,848
  6. Step 6: Final answer
    x = 469,998.10

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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.