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Finding the Third Proportional to 92,835 and 203,057.75

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Solution

The third proportional to 92,835 and 203,057.75 is: 444,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,835 : 203,057.75 = 203,057.75 : x
  2. Step 2: Convert to fraction form
    92,835/203,057.75 = 203,057.75/x
  3. Step 3: Cross multiply
    92,835x = 203,057.75 × 203,057.75
  4. Step 4: Simplify right side
    92,835x = 41,232,449,835.06
  5. Step 5: Solve for x
    x = 41,232,449,835.06/92,835
  6. Step 6: Final answer
    x = 444,147.68

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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.