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Finding the Third Proportional to 93,584 and 202,932

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Solution

The third proportional to 93,584 and 202,932 is: 440,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,584 : 202,932 = 202,932 : x
  2. Step 2: Convert to fraction form
    93,584/202,932 = 202,932/x
  3. Step 3: Cross multiply
    93,584x = 202,932 × 202,932
  4. Step 4: Simplify right side
    93,584x = 41,181,396,624
  5. Step 5: Solve for x
    x = 41,181,396,624/93,584
  6. Step 6: Final answer
    x = 440,047.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.