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Finding the Third Proportional to 40,167 and 87,478.50

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Solution

The third proportional to 40,167 and 87,478.50 is: 190,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,167 : 87,478.50 = 87,478.50 : x
  2. Step 2: Convert to fraction form
    40,167/87,478.50 = 87,478.50/x
  3. Step 3: Cross multiply
    40,167x = 87,478.50 × 87,478.50
  4. Step 4: Simplify right side
    40,167x = 7,652,487,962.25
  5. Step 5: Solve for x
    x = 7,652,487,962.25/40,167
  6. Step 6: Final answer
    x = 190,516.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.