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Finding the Third Proportional to 99,028 and 201,500

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Solution

The third proportional to 99,028 and 201,500 is: 410,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,028 : 201,500 = 201,500 : x
  2. Step 2: Convert to fraction form
    99,028/201,500 = 201,500/x
  3. Step 3: Cross multiply
    99,028x = 201,500 × 201,500
  4. Step 4: Simplify right side
    99,028x = 40,602,250,000
  5. Step 5: Solve for x
    x = 40,602,250,000/99,028
  6. Step 6: Final answer
    x = 410,007.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.