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Finding the Third Proportional to 100,584.91 and 219,853.30

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Solution

The third proportional to 100,584.91 and 219,853.30 is: 480,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.91 : 219,853.30 = 219,853.30 : x
  2. Step 2: Convert to fraction form
    100,584.91/219,853.30 = 219,853.30/x
  3. Step 3: Cross multiply
    100,584.91x = 219,853.30 × 219,853.30
  4. Step 4: Simplify right side
    100,584.91x = 48,335,473,864.41
  5. Step 5: Solve for x
    x = 48,335,473,864.41/100,584.91
  6. Step 6: Final answer
    x = 480,543.97

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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.