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Finding the Third Proportional to 93,915 and 203,754

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Solution

The third proportional to 93,915 and 203,754 is: 442,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,915 : 203,754 = 203,754 : x
  2. Step 2: Convert to fraction form
    93,915/203,754 = 203,754/x
  3. Step 3: Cross multiply
    93,915x = 203,754 × 203,754
  4. Step 4: Simplify right side
    93,915x = 41,515,692,516
  5. Step 5: Solve for x
    x = 41,515,692,516/93,915
  6. Step 6: Final answer
    x = 442,056.03

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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.