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Finding the Third Proportional to 86,448.50 and 201,918

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Solution

The third proportional to 86,448.50 and 201,918 is: 471,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,448.50 : 201,918 = 201,918 : x
  2. Step 2: Convert to fraction form
    86,448.50/201,918 = 201,918/x
  3. Step 3: Cross multiply
    86,448.50x = 201,918 × 201,918
  4. Step 4: Simplify right side
    86,448.50x = 40,770,878,724
  5. Step 5: Solve for x
    x = 40,770,878,724/86,448.50
  6. Step 6: Final answer
    x = 471,620.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.