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Finding the Third Proportional to 93,611 and 203,095

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Solution

The third proportional to 93,611 and 203,095 is: 440,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,611 : 203,095 = 203,095 : x
  2. Step 2: Convert to fraction form
    93,611/203,095 = 203,095/x
  3. Step 3: Cross multiply
    93,611x = 203,095 × 203,095
  4. Step 4: Simplify right side
    93,611x = 41,247,579,025
  5. Step 5: Solve for x
    x = 41,247,579,025/93,611
  6. Step 6: Final answer
    x = 440,627.48

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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.