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Finding the Third Proportional to 93,759 and 190,999.50

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Solution

The third proportional to 93,759 and 190,999.50 is: 389,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,759 : 190,999.50 = 190,999.50 : x
  2. Step 2: Convert to fraction form
    93,759/190,999.50 = 190,999.50/x
  3. Step 3: Cross multiply
    93,759x = 190,999.50 × 190,999.50
  4. Step 4: Simplify right side
    93,759x = 36,480,809,000.25
  5. Step 5: Solve for x
    x = 36,480,809,000.25/93,759
  6. Step 6: Final answer
    x = 389,091.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.