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Finding the Third Proportional to 86,238.07 and 188,564.68

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Solution

The third proportional to 86,238.07 and 188,564.68 is: 412,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,238.07 : 188,564.68 = 188,564.68 : x
  2. Step 2: Convert to fraction form
    86,238.07/188,564.68 = 188,564.68/x
  3. Step 3: Cross multiply
    86,238.07x = 188,564.68 × 188,564.68
  4. Step 4: Simplify right side
    86,238.07x = 35,556,637,689.07
  5. Step 5: Solve for x
    x = 35,556,637,689.07/86,238.07
  6. Step 6: Final answer
    x = 412,307.92

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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.