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Finding the Third Proportional to 43,605 and 94,178.50

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Solution

The third proportional to 43,605 and 94,178.50 is: 203,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 94,178.50 = 94,178.50 : x
  2. Step 2: Convert to fraction form
    43,605/94,178.50 = 94,178.50/x
  3. Step 3: Cross multiply
    43,605x = 94,178.50 × 94,178.50
  4. Step 4: Simplify right side
    43,605x = 8,869,589,862.25
  5. Step 5: Solve for x
    x = 8,869,589,862.25/43,605
  6. Step 6: Final answer
    x = 203,407.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.