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Finding the Third Proportional to 93,472.31 and 205,635.38

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Solution

The third proportional to 93,472.31 and 205,635.38 is: 452,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,472.31 : 205,635.38 = 205,635.38 : x
  2. Step 2: Convert to fraction form
    93,472.31/205,635.38 = 205,635.38/x
  3. Step 3: Cross multiply
    93,472.31x = 205,635.38 × 205,635.38
  4. Step 4: Simplify right side
    93,472.31x = 42,285,907,451.39
  5. Step 5: Solve for x
    x = 42,285,907,451.39/93,472.31
  6. Step 6: Final answer
    x = 452,389.66

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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.