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Finding the Third Proportional to 104,070 and 221,096

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Solution

The third proportional to 104,070 and 221,096 is: 469,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,070 : 221,096 = 221,096 : x
  2. Step 2: Convert to fraction form
    104,070/221,096 = 221,096/x
  3. Step 3: Cross multiply
    104,070x = 221,096 × 221,096
  4. Step 4: Simplify right side
    104,070x = 48,883,441,216
  5. Step 5: Solve for x
    x = 48,883,441,216/104,070
  6. Step 6: Final answer
    x = 469,716.93

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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.