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Finding the Third Proportional to 100,578 and 219,841.50

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Solution

The third proportional to 100,578 and 219,841.50 is: 480,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578 : 219,841.50 = 219,841.50 : x
  2. Step 2: Convert to fraction form
    100,578/219,841.50 = 219,841.50/x
  3. Step 3: Cross multiply
    100,578x = 219,841.50 × 219,841.50
  4. Step 4: Simplify right side
    100,578x = 48,330,285,122.25
  5. Step 5: Solve for x
    x = 48,330,285,122.25/100,578
  6. Step 6: Final answer
    x = 480,525.41

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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.