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Finding the Third Proportional to 93,411 and 193,467

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Solution

The third proportional to 93,411 and 193,467 is: 400,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,411 : 193,467 = 193,467 : x
  2. Step 2: Convert to fraction form
    93,411/193,467 = 193,467/x
  3. Step 3: Cross multiply
    93,411x = 193,467 × 193,467
  4. Step 4: Simplify right side
    93,411x = 37,429,480,089
  5. Step 5: Solve for x
    x = 37,429,480,089/93,411
  6. Step 6: Final answer
    x = 400,696.71

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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.