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Finding the Third Proportional to 97,811 and 208,540.50

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Solution

The third proportional to 97,811 and 208,540.50 is: 444,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,811 : 208,540.50 = 208,540.50 : x
  2. Step 2: Convert to fraction form
    97,811/208,540.50 = 208,540.50/x
  3. Step 3: Cross multiply
    97,811x = 208,540.50 × 208,540.50
  4. Step 4: Simplify right side
    97,811x = 43,489,140,140.25
  5. Step 5: Solve for x
    x = 43,489,140,140.25/97,811
  6. Step 6: Final answer
    x = 444,624.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.