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Finding the Third Proportional to 93,386 and 204,904

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Solution

The third proportional to 93,386 and 204,904 is: 449,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,386 : 204,904 = 204,904 : x
  2. Step 2: Convert to fraction form
    93,386/204,904 = 204,904/x
  3. Step 3: Cross multiply
    93,386x = 204,904 × 204,904
  4. Step 4: Simplify right side
    93,386x = 41,985,649,216
  5. Step 5: Solve for x
    x = 41,985,649,216/93,386
  6. Step 6: Final answer
    x = 449,592.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.