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Finding the Third Proportional to 102,533.50 and 219,647

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Solution

The third proportional to 102,533.50 and 219,647 is: 470,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.50 : 219,647 = 219,647 : x
  2. Step 2: Convert to fraction form
    102,533.50/219,647 = 219,647/x
  3. Step 3: Cross multiply
    102,533.50x = 219,647 × 219,647
  4. Step 4: Simplify right side
    102,533.50x = 48,244,804,609
  5. Step 5: Solve for x
    x = 48,244,804,609/102,533.50
  6. Step 6: Final answer
    x = 470,527.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.