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Finding the Third Proportional to 101,710.69 and 220,355.44

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Solution

The third proportional to 101,710.69 and 220,355.44 is: 477,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.69 : 220,355.44 = 220,355.44 : x
  2. Step 2: Convert to fraction form
    101,710.69/220,355.44 = 220,355.44/x
  3. Step 3: Cross multiply
    101,710.69x = 220,355.44 × 220,355.44
  4. Step 4: Simplify right side
    101,710.69x = 48,556,518,835.82
  5. Step 5: Solve for x
    x = 48,556,518,835.82/101,710.69
  6. Step 6: Final answer
    x = 477,398.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.