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Finding the Third Proportional to 101,115 and 220,014

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Solution

The third proportional to 101,115 and 220,014 is: 478,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115 : 220,014 = 220,014 : x
  2. Step 2: Convert to fraction form
    101,115/220,014 = 220,014/x
  3. Step 3: Cross multiply
    101,115x = 220,014 × 220,014
  4. Step 4: Simplify right side
    101,115x = 48,406,160,196
  5. Step 5: Solve for x
    x = 48,406,160,196/101,115
  6. Step 6: Final answer
    x = 478,723.83

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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.