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Finding the Third Proportional to 86,168.81 and 182,273.63

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Solution

The third proportional to 86,168.81 and 182,273.63 is: 385,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,168.81 : 182,273.63 = 182,273.63 : x
  2. Step 2: Convert to fraction form
    86,168.81/182,273.63 = 182,273.63/x
  3. Step 3: Cross multiply
    86,168.81x = 182,273.63 × 182,273.63
  4. Step 4: Simplify right side
    86,168.81x = 33,223,674,370.64
  5. Step 5: Solve for x
    x = 33,223,674,370.64/86,168.81
  6. Step 6: Final answer
    x = 385,564.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.