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Finding the Third Proportional to 93,906.50 and 221,455

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Solution

The third proportional to 93,906.50 and 221,455 is: 522,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,906.50 : 221,455 = 221,455 : x
  2. Step 2: Convert to fraction form
    93,906.50/221,455 = 221,455/x
  3. Step 3: Cross multiply
    93,906.50x = 221,455 × 221,455
  4. Step 4: Simplify right side
    93,906.50x = 49,042,317,025
  5. Step 5: Solve for x
    x = 49,042,317,025/93,906.50
  6. Step 6: Final answer
    x = 522,246.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.