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Finding the Third Proportional to 93,537 and 204,570

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Solution

The third proportional to 93,537 and 204,570 is: 447,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,537 : 204,570 = 204,570 : x
  2. Step 2: Convert to fraction form
    93,537/204,570 = 204,570/x
  3. Step 3: Cross multiply
    93,537x = 204,570 × 204,570
  4. Step 4: Simplify right side
    93,537x = 41,848,884,900
  5. Step 5: Solve for x
    x = 41,848,884,900/93,537
  6. Step 6: Final answer
    x = 447,404.61

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Why These Related Problems?

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