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Finding the Third Proportional to 100,853.50 and 219,451.50

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Solution

The third proportional to 100,853.50 and 219,451.50 is: 477,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853.50 : 219,451.50 = 219,451.50 : x
  2. Step 2: Convert to fraction form
    100,853.50/219,451.50 = 219,451.50/x
  3. Step 3: Cross multiply
    100,853.50x = 219,451.50 × 219,451.50
  4. Step 4: Simplify right side
    100,853.50x = 48,158,960,852.25
  5. Step 5: Solve for x
    x = 48,158,960,852.25/100,853.50
  6. Step 6: Final answer
    x = 477,514.03

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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.