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Finding the Third Proportional to 93,965 and 205,264

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Solution

The third proportional to 93,965 and 205,264 is: 448,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,965 : 205,264 = 205,264 : x
  2. Step 2: Convert to fraction form
    93,965/205,264 = 205,264/x
  3. Step 3: Cross multiply
    93,965x = 205,264 × 205,264
  4. Step 4: Simplify right side
    93,965x = 42,133,309,696
  5. Step 5: Solve for x
    x = 42,133,309,696/93,965
  6. Step 6: Final answer
    x = 448,393.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.