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Finding the Third Proportional to 86,784 and 190,213.50

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Solution

The third proportional to 86,784 and 190,213.50 is: 416,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784 : 190,213.50 = 190,213.50 : x
  2. Step 2: Convert to fraction form
    86,784/190,213.50 = 190,213.50/x
  3. Step 3: Cross multiply
    86,784x = 190,213.50 × 190,213.50
  4. Step 4: Simplify right side
    86,784x = 36,181,175,582.25
  5. Step 5: Solve for x
    x = 36,181,175,582.25/86,784
  6. Step 6: Final answer
    x = 416,910.67

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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.