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Finding the Third Proportional to 93,758 and 190,998

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Solution

The third proportional to 93,758 and 190,998 is: 389,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,758 : 190,998 = 190,998 : x
  2. Step 2: Convert to fraction form
    93,758/190,998 = 190,998/x
  3. Step 3: Cross multiply
    93,758x = 190,998 × 190,998
  4. Step 4: Simplify right side
    93,758x = 36,480,236,004
  5. Step 5: Solve for x
    x = 36,480,236,004/93,758
  6. Step 6: Final answer
    x = 389,089.32

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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.