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Finding the Third Proportional to 93,373 and 204,970

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Solution

The third proportional to 93,373 and 204,970 is: 449,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,373 : 204,970 = 204,970 : x
  2. Step 2: Convert to fraction form
    93,373/204,970 = 204,970/x
  3. Step 3: Cross multiply
    93,373x = 204,970 × 204,970
  4. Step 4: Simplify right side
    93,373x = 42,012,700,900
  5. Step 5: Solve for x
    x = 42,012,700,900/93,373
  6. Step 6: Final answer
    x = 449,944.85

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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.