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Finding the Third Proportional to 99,276.50 and 214,104

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Solution

The third proportional to 99,276.50 and 214,104 is: 461,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,276.50 : 214,104 = 214,104 : x
  2. Step 2: Convert to fraction form
    99,276.50/214,104 = 214,104/x
  3. Step 3: Cross multiply
    99,276.50x = 214,104 × 214,104
  4. Step 4: Simplify right side
    99,276.50x = 45,840,522,816
  5. Step 5: Solve for x
    x = 45,840,522,816/99,276.50
  6. Step 6: Final answer
    x = 461,745.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.