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Finding the Third Proportional to 86,784.75 and 190,215

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Solution

The third proportional to 86,784.75 and 190,215 is: 416,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784.75 : 190,215 = 190,215 : x
  2. Step 2: Convert to fraction form
    86,784.75/190,215 = 190,215/x
  3. Step 3: Cross multiply
    86,784.75x = 190,215 × 190,215
  4. Step 4: Simplify right side
    86,784.75x = 36,181,746,225
  5. Step 5: Solve for x
    x = 36,181,746,225/86,784.75
  6. Step 6: Final answer
    x = 416,913.64

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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.