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Finding the Third Proportional to 93,177.09 and 204,659.10

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Solution

The third proportional to 93,177.09 and 204,659.10 is: 449,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,177.09 : 204,659.10 = 204,659.10 : x
  2. Step 2: Convert to fraction form
    93,177.09/204,659.10 = 204,659.10/x
  3. Step 3: Cross multiply
    93,177.09x = 204,659.10 × 204,659.10
  4. Step 4: Simplify right side
    93,177.09x = 41,885,345,953.68
  5. Step 5: Solve for x
    x = 41,885,345,953.68/93,177.09
  6. Step 6: Final answer
    x = 449,524.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.