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Finding the Third Proportional to 93,533 and 226,433

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Solution

The third proportional to 93,533 and 226,433 is: 548,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,533 : 226,433 = 226,433 : x
  2. Step 2: Convert to fraction form
    93,533/226,433 = 226,433/x
  3. Step 3: Cross multiply
    93,533x = 226,433 × 226,433
  4. Step 4: Simplify right side
    93,533x = 51,271,903,489
  5. Step 5: Solve for x
    x = 51,271,903,489/93,533
  6. Step 6: Final answer
    x = 548,169.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.