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Finding the Third Proportional to 93,686 and 221,151

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Solution

The third proportional to 93,686 and 221,151 is: 522,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,686 : 221,151 = 221,151 : x
  2. Step 2: Convert to fraction form
    93,686/221,151 = 221,151/x
  3. Step 3: Cross multiply
    93,686x = 221,151 × 221,151
  4. Step 4: Simplify right side
    93,686x = 48,907,764,801
  5. Step 5: Solve for x
    x = 48,907,764,801/93,686
  6. Step 6: Final answer
    x = 522,039.20

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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.