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Finding the Third Proportional to 93,898 and 202,832

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Solution

The third proportional to 93,898 and 202,832 is: 438,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,898 : 202,832 = 202,832 : x
  2. Step 2: Convert to fraction form
    93,898/202,832 = 202,832/x
  3. Step 3: Cross multiply
    93,898x = 202,832 × 202,832
  4. Step 4: Simplify right side
    93,898x = 41,140,820,224
  5. Step 5: Solve for x
    x = 41,140,820,224/93,898
  6. Step 6: Final answer
    x = 438,143.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.