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Finding the Third Proportional to 102,174.75 and 220,189.50

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Solution

The third proportional to 102,174.75 and 220,189.50 is: 474,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.75 : 220,189.50 = 220,189.50 : x
  2. Step 2: Convert to fraction form
    102,174.75/220,189.50 = 220,189.50/x
  3. Step 3: Cross multiply
    102,174.75x = 220,189.50 × 220,189.50
  4. Step 4: Simplify right side
    102,174.75x = 48,483,415,910.25
  5. Step 5: Solve for x
    x = 48,483,415,910.25/102,174.75
  6. Step 6: Final answer
    x = 474,514.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.