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Finding the Third Proportional to 93,858.50 and 189,253

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Solution

The third proportional to 93,858.50 and 189,253 is: 381,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,858.50 : 189,253 = 189,253 : x
  2. Step 2: Convert to fraction form
    93,858.50/189,253 = 189,253/x
  3. Step 3: Cross multiply
    93,858.50x = 189,253 × 189,253
  4. Step 4: Simplify right side
    93,858.50x = 35,816,698,009
  5. Step 5: Solve for x
    x = 35,816,698,009/93,858.50
  6. Step 6: Final answer
    x = 381,603.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.