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Finding the Third Proportional to 93,496 and 203,888

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Solution

The third proportional to 93,496 and 203,888 is: 444,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,496 : 203,888 = 203,888 : x
  2. Step 2: Convert to fraction form
    93,496/203,888 = 203,888/x
  3. Step 3: Cross multiply
    93,496x = 203,888 × 203,888
  4. Step 4: Simplify right side
    93,496x = 41,570,316,544
  5. Step 5: Solve for x
    x = 41,570,316,544/93,496
  6. Step 6: Final answer
    x = 444,621.34

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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.