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Finding the Third Proportional to 98,771.91 and 219,713.77

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Solution

The third proportional to 98,771.91 and 219,713.77 is: 488,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,771.91 : 219,713.77 = 219,713.77 : x
  2. Step 2: Convert to fraction form
    98,771.91/219,713.77 = 219,713.77/x
  3. Step 3: Cross multiply
    98,771.91x = 219,713.77 × 219,713.77
  4. Step 4: Simplify right side
    98,771.91x = 48,274,138,805.12
  5. Step 5: Solve for x
    x = 48,274,138,805.12/98,771.91
  6. Step 6: Final answer
    x = 488,743.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.