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Finding the Third Proportional to 79,938 and 166,432.50

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Solution

The third proportional to 79,938 and 166,432.50 is: 346,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,938 : 166,432.50 = 166,432.50 : x
  2. Step 2: Convert to fraction form
    79,938/166,432.50 = 166,432.50/x
  3. Step 3: Cross multiply
    79,938x = 166,432.50 × 166,432.50
  4. Step 4: Simplify right side
    79,938x = 27,699,777,056.25
  5. Step 5: Solve for x
    x = 27,699,777,056.25/79,938
  6. Step 6: Final answer
    x = 346,515.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.