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Finding the Third Proportional to 93,872.06 and 194,394.56

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Solution

The third proportional to 93,872.06 and 194,394.56 is: 402,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,872.06 : 194,394.56 = 194,394.56 : x
  2. Step 2: Convert to fraction form
    93,872.06/194,394.56 = 194,394.56/x
  3. Step 3: Cross multiply
    93,872.06x = 194,394.56 × 194,394.56
  4. Step 4: Simplify right side
    93,872.06x = 37,789,245,929.57
  5. Step 5: Solve for x
    x = 37,789,245,929.57/93,872.06
  6. Step 6: Final answer
    x = 402,561.16

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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.