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Finding the Third Proportional to 44,708 and 97,192

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Solution

The third proportional to 44,708 and 97,192 is: 211,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,708 : 97,192 = 97,192 : x
  2. Step 2: Convert to fraction form
    44,708/97,192 = 97,192/x
  3. Step 3: Cross multiply
    44,708x = 97,192 × 97,192
  4. Step 4: Simplify right side
    44,708x = 9,446,284,864
  5. Step 5: Solve for x
    x = 9,446,284,864/44,708
  6. Step 6: Final answer
    x = 211,288.47

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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.