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Finding the Third Proportional to 93,161.25 and 192,964.50

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Solution

The third proportional to 93,161.25 and 192,964.50 is: 399,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,161.25 : 192,964.50 = 192,964.50 : x
  2. Step 2: Convert to fraction form
    93,161.25/192,964.50 = 192,964.50/x
  3. Step 3: Cross multiply
    93,161.25x = 192,964.50 × 192,964.50
  4. Step 4: Simplify right side
    93,161.25x = 37,235,298,260.25
  5. Step 5: Solve for x
    x = 37,235,298,260.25/93,161.25
  6. Step 6: Final answer
    x = 399,686.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.