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Finding the Third Proportional to 93,622.50 and 214,857

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Solution

The third proportional to 93,622.50 and 214,857 is: 493,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,622.50 : 214,857 = 214,857 : x
  2. Step 2: Convert to fraction form
    93,622.50/214,857 = 214,857/x
  3. Step 3: Cross multiply
    93,622.50x = 214,857 × 214,857
  4. Step 4: Simplify right side
    93,622.50x = 46,163,530,449
  5. Step 5: Solve for x
    x = 46,163,530,449/93,622.50
  6. Step 6: Final answer
    x = 493,081.58

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.