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Finding the Third Proportional to 93,016.50 and 203,768.50

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Solution

The third proportional to 93,016.50 and 203,768.50 is: 446,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,016.50 : 203,768.50 = 203,768.50 : x
  2. Step 2: Convert to fraction form
    93,016.50/203,768.50 = 203,768.50/x
  3. Step 3: Cross multiply
    93,016.50x = 203,768.50 × 203,768.50
  4. Step 4: Simplify right side
    93,016.50x = 41,521,601,592.25
  5. Step 5: Solve for x
    x = 41,521,601,592.25/93,016.50
  6. Step 6: Final answer
    x = 446,389.64

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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.