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Finding the Third Proportional to 101,115 and 220,164.50

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Solution

The third proportional to 101,115 and 220,164.50 is: 479,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115 : 220,164.50 = 220,164.50 : x
  2. Step 2: Convert to fraction form
    101,115/220,164.50 = 220,164.50/x
  3. Step 3: Cross multiply
    101,115x = 220,164.50 × 220,164.50
  4. Step 4: Simplify right side
    101,115x = 48,472,407,060.25
  5. Step 5: Solve for x
    x = 48,472,407,060.25/101,115
  6. Step 6: Final answer
    x = 479,378.99

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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.