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Finding the Third Proportional to 86,934.75 and 185,352.38

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Solution

The third proportional to 86,934.75 and 185,352.38 is: 395,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,934.75 : 185,352.38 = 185,352.38 : x
  2. Step 2: Convert to fraction form
    86,934.75/185,352.38 = 185,352.38/x
  3. Step 3: Cross multiply
    86,934.75x = 185,352.38 × 185,352.38
  4. Step 4: Simplify right side
    86,934.75x = 34,355,502,918.14
  5. Step 5: Solve for x
    x = 34,355,502,918.14/86,934.75
  6. Step 6: Final answer
    x = 395,187.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.