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Finding the Third Proportional to 93,537.75 and 204,543

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Solution

The third proportional to 93,537.75 and 204,543 is: 447,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,537.75 : 204,543 = 204,543 : x
  2. Step 2: Convert to fraction form
    93,537.75/204,543 = 204,543/x
  3. Step 3: Cross multiply
    93,537.75x = 204,543 × 204,543
  4. Step 4: Simplify right side
    93,537.75x = 41,837,838,849
  5. Step 5: Solve for x
    x = 41,837,838,849/93,537.75
  6. Step 6: Final answer
    x = 447,282.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.