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Finding the Third Proportional to 93,567 and 200,013

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Solution

The third proportional to 93,567 and 200,013 is: 427,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,567 : 200,013 = 200,013 : x
  2. Step 2: Convert to fraction form
    93,567/200,013 = 200,013/x
  3. Step 3: Cross multiply
    93,567x = 200,013 × 200,013
  4. Step 4: Simplify right side
    93,567x = 40,005,200,169
  5. Step 5: Solve for x
    x = 40,005,200,169/93,567
  6. Step 6: Final answer
    x = 427,556.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.