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Finding the Third Proportional to 93,496 and 205,683

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Solution

The third proportional to 93,496 and 205,683 is: 452,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,496 : 205,683 = 205,683 : x
  2. Step 2: Convert to fraction form
    93,496/205,683 = 205,683/x
  3. Step 3: Cross multiply
    93,496x = 205,683 × 205,683
  4. Step 4: Simplify right side
    93,496x = 42,305,496,489
  5. Step 5: Solve for x
    x = 42,305,496,489/93,496
  6. Step 6: Final answer
    x = 452,484.56

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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.