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Finding the Third Proportional to 86,316.75 and 192,721.50

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Solution

The third proportional to 86,316.75 and 192,721.50 is: 430,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,316.75 : 192,721.50 = 192,721.50 : x
  2. Step 2: Convert to fraction form
    86,316.75/192,721.50 = 192,721.50/x
  3. Step 3: Cross multiply
    86,316.75x = 192,721.50 × 192,721.50
  4. Step 4: Simplify right side
    86,316.75x = 37,141,576,562.25
  5. Step 5: Solve for x
    x = 37,141,576,562.25/86,316.75
  6. Step 6: Final answer
    x = 430,293.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.