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Finding the Third Proportional to 100,564.75 and 220,334.25

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Solution

The third proportional to 100,564.75 and 220,334.25 is: 482,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.75 : 220,334.25 = 220,334.25 : x
  2. Step 2: Convert to fraction form
    100,564.75/220,334.25 = 220,334.25/x
  3. Step 3: Cross multiply
    100,564.75x = 220,334.25 × 220,334.25
  4. Step 4: Simplify right side
    100,564.75x = 48,547,181,723.06
  5. Step 5: Solve for x
    x = 48,547,181,723.06/100,564.75
  6. Step 6: Final answer
    x = 482,745.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.