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Finding the Third Proportional to 93,466 and 203,828

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Solution

The third proportional to 93,466 and 203,828 is: 444,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,466 : 203,828 = 203,828 : x
  2. Step 2: Convert to fraction form
    93,466/203,828 = 203,828/x
  3. Step 3: Cross multiply
    93,466x = 203,828 × 203,828
  4. Step 4: Simplify right side
    93,466x = 41,545,853,584
  5. Step 5: Solve for x
    x = 41,545,853,584/93,466
  6. Step 6: Final answer
    x = 444,502.32

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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.