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Finding the Third Proportional to 104,088 and 221,144

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Solution

The third proportional to 104,088 and 221,144 is: 469,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,088 : 221,144 = 221,144 : x
  2. Step 2: Convert to fraction form
    104,088/221,144 = 221,144/x
  3. Step 3: Cross multiply
    104,088x = 221,144 × 221,144
  4. Step 4: Simplify right side
    104,088x = 48,904,668,736
  5. Step 5: Solve for x
    x = 48,904,668,736/104,088
  6. Step 6: Final answer
    x = 469,839.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.