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Finding the Third Proportional to 93,541 and 204,584

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Solution

The third proportional to 93,541 and 204,584 is: 447,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,541 : 204,584 = 204,584 : x
  2. Step 2: Convert to fraction form
    93,541/204,584 = 204,584/x
  3. Step 3: Cross multiply
    93,541x = 204,584 × 204,584
  4. Step 4: Simplify right side
    93,541x = 41,854,613,056
  5. Step 5: Solve for x
    x = 41,854,613,056/93,541
  6. Step 6: Final answer
    x = 447,446.71

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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.