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Finding the Third Proportional to 150,448.88 and 221,066.44

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Solution

The third proportional to 150,448.88 and 221,066.44 is: 324,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,448.88 : 221,066.44 = 221,066.44 : x
  2. Step 2: Convert to fraction form
    150,448.88/221,066.44 = 221,066.44/x
  3. Step 3: Cross multiply
    150,448.88x = 221,066.44 × 221,066.44
  4. Step 4: Simplify right side
    150,448.88x = 48,870,369,788.94
  5. Step 5: Solve for x
    x = 48,870,369,788.94/150,448.88
  6. Step 6: Final answer
    x = 324,830.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.