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Finding the Third Proportional to 45,296 and 98,820

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Solution

The third proportional to 45,296 and 98,820 is: 215,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 98,820 = 98,820 : x
  2. Step 2: Convert to fraction form
    45,296/98,820 = 98,820/x
  3. Step 3: Cross multiply
    45,296x = 98,820 × 98,820
  4. Step 4: Simplify right side
    45,296x = 9,765,392,400
  5. Step 5: Solve for x
    x = 9,765,392,400/45,296
  6. Step 6: Final answer
    x = 215,590.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.