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Finding the Third Proportional to 44,778 and 93,857

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Solution

The third proportional to 44,778 and 93,857 is: 196,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,778 : 93,857 = 93,857 : x
  2. Step 2: Convert to fraction form
    44,778/93,857 = 93,857/x
  3. Step 3: Cross multiply
    44,778x = 93,857 × 93,857
  4. Step 4: Simplify right side
    44,778x = 8,809,136,449
  5. Step 5: Solve for x
    x = 8,809,136,449/44,778
  6. Step 6: Final answer
    x = 196,729.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.