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Finding the Third Proportional to 93,469.57 and 204,070.64

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Solution

The third proportional to 93,469.57 and 204,070.64 is: 445,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,469.57 : 204,070.64 = 204,070.64 : x
  2. Step 2: Convert to fraction form
    93,469.57/204,070.64 = 204,070.64/x
  3. Step 3: Cross multiply
    93,469.57x = 204,070.64 × 204,070.64
  4. Step 4: Simplify right side
    93,469.57x = 41,644,826,365.10
  5. Step 5: Solve for x
    x = 41,644,826,365.10/93,469.57
  6. Step 6: Final answer
    x = 445,544.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.