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Finding the Third Proportional to 92,714.25 and 190,343.50

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Solution

The third proportional to 92,714.25 and 190,343.50 is: 390,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,714.25 : 190,343.50 = 190,343.50 : x
  2. Step 2: Convert to fraction form
    92,714.25/190,343.50 = 190,343.50/x
  3. Step 3: Cross multiply
    92,714.25x = 190,343.50 × 190,343.50
  4. Step 4: Simplify right side
    92,714.25x = 36,230,647,992.25
  5. Step 5: Solve for x
    x = 36,230,647,992.25/92,714.25
  6. Step 6: Final answer
    x = 390,777.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.