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Finding the Third Proportional to 99,504.50 and 208,233

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Solution

The third proportional to 99,504.50 and 208,233 is: 435,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,504.50 : 208,233 = 208,233 : x
  2. Step 2: Convert to fraction form
    99,504.50/208,233 = 208,233/x
  3. Step 3: Cross multiply
    99,504.50x = 208,233 × 208,233
  4. Step 4: Simplify right side
    99,504.50x = 43,360,982,289
  5. Step 5: Solve for x
    x = 43,360,982,289/99,504.50
  6. Step 6: Final answer
    x = 435,769.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.