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Finding the Third Proportional to 45,918 and 98,838

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Solution

The third proportional to 45,918 and 98,838 is: 212,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,918 : 98,838 = 98,838 : x
  2. Step 2: Convert to fraction form
    45,918/98,838 = 98,838/x
  3. Step 3: Cross multiply
    45,918x = 98,838 × 98,838
  4. Step 4: Simplify right side
    45,918x = 9,768,950,244
  5. Step 5: Solve for x
    x = 9,768,950,244/45,918
  6. Step 6: Final answer
    x = 212,747.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.