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Finding the Third Proportional to 101,115.84 and 220,328.86

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Solution

The third proportional to 101,115.84 and 220,328.86 is: 480,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115.84 : 220,328.86 = 220,328.86 : x
  2. Step 2: Convert to fraction form
    101,115.84/220,328.86 = 220,328.86/x
  3. Step 3: Cross multiply
    101,115.84x = 220,328.86 × 220,328.86
  4. Step 4: Simplify right side
    101,115.84x = 48,544,806,273.49
  5. Step 5: Solve for x
    x = 48,544,806,273.49/101,115.84
  6. Step 6: Final answer
    x = 480,091.00

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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.