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Finding the Third Proportional to 93,400.50 and 206,427

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Solution

The third proportional to 93,400.50 and 206,427 is: 456,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,400.50 : 206,427 = 206,427 : x
  2. Step 2: Convert to fraction form
    93,400.50/206,427 = 206,427/x
  3. Step 3: Cross multiply
    93,400.50x = 206,427 × 206,427
  4. Step 4: Simplify right side
    93,400.50x = 42,612,106,329
  5. Step 5: Solve for x
    x = 42,612,106,329/93,400.50
  6. Step 6: Final answer
    x = 456,229.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.