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Finding the Third Proportional to 44,885 and 97,199

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Solution

The third proportional to 44,885 and 97,199 is: 210,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,885 : 97,199 = 97,199 : x
  2. Step 2: Convert to fraction form
    44,885/97,199 = 97,199/x
  3. Step 3: Cross multiply
    44,885x = 97,199 × 97,199
  4. Step 4: Simplify right side
    44,885x = 9,447,645,601
  5. Step 5: Solve for x
    x = 9,447,645,601/44,885
  6. Step 6: Final answer
    x = 210,485.59

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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.