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Finding the Third Proportional to 104,071.50 and 221,103

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Solution

The third proportional to 104,071.50 and 221,103 is: 469,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,071.50 : 221,103 = 221,103 : x
  2. Step 2: Convert to fraction form
    104,071.50/221,103 = 221,103/x
  3. Step 3: Cross multiply
    104,071.50x = 221,103 × 221,103
  4. Step 4: Simplify right side
    104,071.50x = 48,886,536,609
  5. Step 5: Solve for x
    x = 48,886,536,609/104,071.50
  6. Step 6: Final answer
    x = 469,739.91

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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.