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Finding the Third Proportional to 93,424 and 202,399

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Solution

The third proportional to 93,424 and 202,399 is: 438,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,424 : 202,399 = 202,399 : x
  2. Step 2: Convert to fraction form
    93,424/202,399 = 202,399/x
  3. Step 3: Cross multiply
    93,424x = 202,399 × 202,399
  4. Step 4: Simplify right side
    93,424x = 40,965,355,201
  5. Step 5: Solve for x
    x = 40,965,355,201/93,424
  6. Step 6: Final answer
    x = 438,488.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.