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Finding the Third Proportional to 93,914 and 206,260

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Solution

The third proportional to 93,914 and 206,260 is: 453,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,914 : 206,260 = 206,260 : x
  2. Step 2: Convert to fraction form
    93,914/206,260 = 206,260/x
  3. Step 3: Cross multiply
    93,914x = 206,260 × 206,260
  4. Step 4: Simplify right side
    93,914x = 42,543,187,600
  5. Step 5: Solve for x
    x = 42,543,187,600/93,914
  6. Step 6: Final answer
    x = 453,001.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.