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Finding the Third Proportional to 93,230.79 and 204,094.27

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Solution

The third proportional to 93,230.79 and 204,094.27 is: 446,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,230.79 : 204,094.27 = 204,094.27 : x
  2. Step 2: Convert to fraction form
    93,230.79/204,094.27 = 204,094.27/x
  3. Step 3: Cross multiply
    93,230.79x = 204,094.27 × 204,094.27
  4. Step 4: Simplify right side
    93,230.79x = 41,654,469,261.01
  5. Step 5: Solve for x
    x = 41,654,469,261.01/93,230.79
  6. Step 6: Final answer
    x = 446,788.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.