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Finding the Third Proportional to 93,378 and 204,896

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Solution

The third proportional to 93,378 and 204,896 is: 449,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,378 : 204,896 = 204,896 : x
  2. Step 2: Convert to fraction form
    93,378/204,896 = 204,896/x
  3. Step 3: Cross multiply
    93,378x = 204,896 × 204,896
  4. Step 4: Simplify right side
    93,378x = 41,982,370,816
  5. Step 5: Solve for x
    x = 41,982,370,816/93,378
  6. Step 6: Final answer
    x = 449,595.95

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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.