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Finding the Third Proportional to 86,884.88 and 190,375.88

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Solution

The third proportional to 86,884.88 and 190,375.88 is: 417,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,884.88 : 190,375.88 = 190,375.88 : x
  2. Step 2: Convert to fraction form
    86,884.88/190,375.88 = 190,375.88/x
  3. Step 3: Cross multiply
    86,884.88x = 190,375.88 × 190,375.88
  4. Step 4: Simplify right side
    86,884.88x = 36,242,973,782.02
  5. Step 5: Solve for x
    x = 36,242,973,782.02/86,884.88
  6. Step 6: Final answer
    x = 417,137.89

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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.