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Finding the Third Proportional to 101,142 and 220,119.75

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Solution

The third proportional to 101,142 and 220,119.75 is: 479,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142 : 220,119.75 = 220,119.75 : x
  2. Step 2: Convert to fraction form
    101,142/220,119.75 = 220,119.75/x
  3. Step 3: Cross multiply
    101,142x = 220,119.75 × 220,119.75
  4. Step 4: Simplify right side
    101,142x = 48,452,704,340.06
  5. Step 5: Solve for x
    x = 48,452,704,340.06/101,142
  6. Step 6: Final answer
    x = 479,056.22

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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.