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Finding the Third Proportional to 91,503 and 167,818.50

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Solution

The third proportional to 91,503 and 167,818.50 is: 307,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,503 : 167,818.50 = 167,818.50 : x
  2. Step 2: Convert to fraction form
    91,503/167,818.50 = 167,818.50/x
  3. Step 3: Cross multiply
    91,503x = 167,818.50 × 167,818.50
  4. Step 4: Simplify right side
    91,503x = 28,163,048,942.25
  5. Step 5: Solve for x
    x = 28,163,048,942.25/91,503
  6. Step 6: Final answer
    x = 307,782.79

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.