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Finding the Third Proportional to 86,784.25 and 190,214

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Solution

The third proportional to 86,784.25 and 190,214 is: 416,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784.25 : 190,214 = 190,214 : x
  2. Step 2: Convert to fraction form
    86,784.25/190,214 = 190,214/x
  3. Step 3: Cross multiply
    86,784.25x = 190,214 × 190,214
  4. Step 4: Simplify right side
    86,784.25x = 36,181,365,796
  5. Step 5: Solve for x
    x = 36,181,365,796/86,784.25
  6. Step 6: Final answer
    x = 416,911.66

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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.