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Finding the Third Proportional to 45,992 and 100,816

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Solution

The third proportional to 45,992 and 100,816 is: 220,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,992 : 100,816 = 100,816 : x
  2. Step 2: Convert to fraction form
    45,992/100,816 = 100,816/x
  3. Step 3: Cross multiply
    45,992x = 100,816 × 100,816
  4. Step 4: Simplify right side
    45,992x = 10,163,865,856
  5. Step 5: Solve for x
    x = 10,163,865,856/45,992
  6. Step 6: Final answer
    x = 220,992.04

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1.5x scale

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.