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Finding the Third Proportional to 91,764.75 and 202,155

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Solution

The third proportional to 91,764.75 and 202,155 is: 445,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764.75 : 202,155 = 202,155 : x
  2. Step 2: Convert to fraction form
    91,764.75/202,155 = 202,155/x
  3. Step 3: Cross multiply
    91,764.75x = 202,155 × 202,155
  4. Step 4: Simplify right side
    91,764.75x = 40,866,644,025
  5. Step 5: Solve for x
    x = 40,866,644,025/91,764.75
  6. Step 6: Final answer
    x = 445,341.42

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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.