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Finding the Third Proportional to 40,221 and 88,372.50

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Solution

The third proportional to 40,221 and 88,372.50 is: 194,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221 : 88,372.50 = 88,372.50 : x
  2. Step 2: Convert to fraction form
    40,221/88,372.50 = 88,372.50/x
  3. Step 3: Cross multiply
    40,221x = 88,372.50 × 88,372.50
  4. Step 4: Simplify right side
    40,221x = 7,809,698,756.25
  5. Step 5: Solve for x
    x = 7,809,698,756.25/40,221
  6. Step 6: Final answer
    x = 194,169.68

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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.