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Finding the Third Proportional to 93,006 and 206,676

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Solution

The third proportional to 93,006 and 206,676 is: 459,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,006 : 206,676 = 206,676 : x
  2. Step 2: Convert to fraction form
    93,006/206,676 = 206,676/x
  3. Step 3: Cross multiply
    93,006x = 206,676 × 206,676
  4. Step 4: Simplify right side
    93,006x = 42,714,968,976
  5. Step 5: Solve for x
    x = 42,714,968,976/93,006
  6. Step 6: Final answer
    x = 459,271.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.