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Finding the Third Proportional to 93,869 and 194,392

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Solution

The third proportional to 93,869 and 194,392 is: 402,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,869 : 194,392 = 194,392 : x
  2. Step 2: Convert to fraction form
    93,869/194,392 = 194,392/x
  3. Step 3: Cross multiply
    93,869x = 194,392 × 194,392
  4. Step 4: Simplify right side
    93,869x = 37,788,249,664
  5. Step 5: Solve for x
    x = 37,788,249,664/93,869
  6. Step 6: Final answer
    x = 402,563.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.