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Finding the Third Proportional to 86,852.25 and 190,329.75

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Solution

The third proportional to 86,852.25 and 190,329.75 is: 417,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,852.25 : 190,329.75 = 190,329.75 : x
  2. Step 2: Convert to fraction form
    86,852.25/190,329.75 = 190,329.75/x
  3. Step 3: Cross multiply
    86,852.25x = 190,329.75 × 190,329.75
  4. Step 4: Simplify right side
    86,852.25x = 36,225,413,735.06
  5. Step 5: Solve for x
    x = 36,225,413,735.06/86,852.25
  6. Step 6: Final answer
    x = 417,092.40

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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.