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Finding the Third Proportional to 93,556 and 206,808

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Solution

The third proportional to 93,556 and 206,808 is: 457,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,556 : 206,808 = 206,808 : x
  2. Step 2: Convert to fraction form
    93,556/206,808 = 206,808/x
  3. Step 3: Cross multiply
    93,556x = 206,808 × 206,808
  4. Step 4: Simplify right side
    93,556x = 42,769,548,864
  5. Step 5: Solve for x
    x = 42,769,548,864/93,556
  6. Step 6: Final answer
    x = 457,154.53

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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.