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Finding the Third Proportional to 101,050.50 and 220,041.19

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Solution

The third proportional to 101,050.50 and 220,041.19 is: 479,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,050.50 : 220,041.19 = 220,041.19 : x
  2. Step 2: Convert to fraction form
    101,050.50/220,041.19 = 220,041.19/x
  3. Step 3: Cross multiply
    101,050.50x = 220,041.19 × 220,041.19
  4. Step 4: Simplify right side
    101,050.50x = 48,418,124,196.41
  5. Step 5: Solve for x
    x = 48,418,124,196.41/101,050.50
  6. Step 6: Final answer
    x = 479,147.79

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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.