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Finding the Third Proportional to 91,750.50 and 202,128

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Solution

The third proportional to 91,750.50 and 202,128 is: 445,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,750.50 : 202,128 = 202,128 : x
  2. Step 2: Convert to fraction form
    91,750.50/202,128 = 202,128/x
  3. Step 3: Cross multiply
    91,750.50x = 202,128 × 202,128
  4. Step 4: Simplify right side
    91,750.50x = 40,855,728,384
  5. Step 5: Solve for x
    x = 40,855,728,384/91,750.50
  6. Step 6: Final answer
    x = 445,291.62

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