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Finding the Third Proportional to 92,238.75 and 202,530.38

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Solution

The third proportional to 92,238.75 and 202,530.38 is: 444,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238.75 : 202,530.38 = 202,530.38 : x
  2. Step 2: Convert to fraction form
    92,238.75/202,530.38 = 202,530.38/x
  3. Step 3: Cross multiply
    92,238.75x = 202,530.38 × 202,530.38
  4. Step 4: Simplify right side
    92,238.75x = 41,018,552,797.64
  5. Step 5: Solve for x
    x = 41,018,552,797.64/92,238.75
  6. Step 6: Final answer
    x = 444,699.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.