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Finding the Third Proportional to 86,883.05 and 190,371.52

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Solution

The third proportional to 86,883.05 and 190,371.52 is: 417,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,883.05 : 190,371.52 = 190,371.52 : x
  2. Step 2: Convert to fraction form
    86,883.05/190,371.52 = 190,371.52/x
  3. Step 3: Cross multiply
    86,883.05x = 190,371.52 × 190,371.52
  4. Step 4: Simplify right side
    86,883.05x = 36,241,313,961.36
  5. Step 5: Solve for x
    x = 36,241,313,961.36/86,883.05
  6. Step 6: Final answer
    x = 417,127.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.