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Finding the Third Proportional to 93,061 and 203,846

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Solution

The third proportional to 93,061 and 203,846 is: 446,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,061 : 203,846 = 203,846 : x
  2. Step 2: Convert to fraction form
    93,061/203,846 = 203,846/x
  3. Step 3: Cross multiply
    93,061x = 203,846 × 203,846
  4. Step 4: Simplify right side
    93,061x = 41,553,191,716
  5. Step 5: Solve for x
    x = 41,553,191,716/93,061
  6. Step 6: Final answer
    x = 446,515.64

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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.