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Finding the Third Proportional to 86,008.50 and 188,973

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Solution

The third proportional to 86,008.50 and 188,973 is: 415,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,008.50 : 188,973 = 188,973 : x
  2. Step 2: Convert to fraction form
    86,008.50/188,973 = 188,973/x
  3. Step 3: Cross multiply
    86,008.50x = 188,973 × 188,973
  4. Step 4: Simplify right side
    86,008.50x = 35,710,794,729
  5. Step 5: Solve for x
    x = 35,710,794,729/86,008.50
  6. Step 6: Final answer
    x = 415,200.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.