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Finding the Third Proportional to 93,524 and 202,904

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Solution

The third proportional to 93,524 and 202,904 is: 440,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,524 : 202,904 = 202,904 : x
  2. Step 2: Convert to fraction form
    93,524/202,904 = 202,904/x
  3. Step 3: Cross multiply
    93,524x = 202,904 × 202,904
  4. Step 4: Simplify right side
    93,524x = 41,170,033,216
  5. Step 5: Solve for x
    x = 41,170,033,216/93,524
  6. Step 6: Final answer
    x = 440,208.22

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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.