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Finding the Third Proportional to 40,305.50 and 87,779

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Solution

The third proportional to 40,305.50 and 87,779 is: 191,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,305.50 : 87,779 = 87,779 : x
  2. Step 2: Convert to fraction form
    40,305.50/87,779 = 87,779/x
  3. Step 3: Cross multiply
    40,305.50x = 87,779 × 87,779
  4. Step 4: Simplify right side
    40,305.50x = 7,705,152,841
  5. Step 5: Solve for x
    x = 7,705,152,841/40,305.50
  6. Step 6: Final answer
    x = 191,168.77

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Why These Related Problems?

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