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Finding the Third Proportional to 93,640.50 and 206,370

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Solution

The third proportional to 93,640.50 and 206,370 is: 454,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,640.50 : 206,370 = 206,370 : x
  2. Step 2: Convert to fraction form
    93,640.50/206,370 = 206,370/x
  3. Step 3: Cross multiply
    93,640.50x = 206,370 × 206,370
  4. Step 4: Simplify right side
    93,640.50x = 42,588,576,900
  5. Step 5: Solve for x
    x = 42,588,576,900/93,640.50
  6. Step 6: Final answer
    x = 454,809.37

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