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Finding the Third Proportional to 93,058 and 203,500

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Solution

The third proportional to 93,058 and 203,500 is: 445,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,058 : 203,500 = 203,500 : x
  2. Step 2: Convert to fraction form
    93,058/203,500 = 203,500/x
  3. Step 3: Cross multiply
    93,058x = 203,500 × 203,500
  4. Step 4: Simplify right side
    93,058x = 41,412,250,000
  5. Step 5: Solve for x
    x = 41,412,250,000/93,058
  6. Step 6: Final answer
    x = 445,015.47

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