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Finding the Third Proportional to 93,922 and 201,195

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Solution

The third proportional to 93,922 and 201,195 is: 430,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,922 : 201,195 = 201,195 : x
  2. Step 2: Convert to fraction form
    93,922/201,195 = 201,195/x
  3. Step 3: Cross multiply
    93,922x = 201,195 × 201,195
  4. Step 4: Simplify right side
    93,922x = 40,479,428,025
  5. Step 5: Solve for x
    x = 40,479,428,025/93,922
  6. Step 6: Final answer
    x = 430,989.84

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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.