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Finding the Third Proportional to 93,512 and 200,155

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Solution

The third proportional to 93,512 and 200,155 is: 428,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,512 : 200,155 = 200,155 : x
  2. Step 2: Convert to fraction form
    93,512/200,155 = 200,155/x
  3. Step 3: Cross multiply
    93,512x = 200,155 × 200,155
  4. Step 4: Simplify right side
    93,512x = 40,062,024,025
  5. Step 5: Solve for x
    x = 40,062,024,025/93,512
  6. Step 6: Final answer
    x = 428,415.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.