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Finding the Third Proportional to 93,763 and 191,007

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Solution

The third proportional to 93,763 and 191,007 is: 389,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,763 : 191,007 = 191,007 : x
  2. Step 2: Convert to fraction form
    93,763/191,007 = 191,007/x
  3. Step 3: Cross multiply
    93,763x = 191,007 × 191,007
  4. Step 4: Simplify right side
    93,763x = 36,483,674,049
  5. Step 5: Solve for x
    x = 36,483,674,049/93,763
  6. Step 6: Final answer
    x = 389,105.23

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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.