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Finding the Third Proportional to 93,888 and 208,766

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Solution

The third proportional to 93,888 and 208,766 is: 464,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,888 : 208,766 = 208,766 : x
  2. Step 2: Convert to fraction form
    93,888/208,766 = 208,766/x
  3. Step 3: Cross multiply
    93,888x = 208,766 × 208,766
  4. Step 4: Simplify right side
    93,888x = 43,583,242,756
  5. Step 5: Solve for x
    x = 43,583,242,756/93,888
  6. Step 6: Final answer
    x = 464,204.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.