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Finding the Third Proportional to 40,770 and 89,817.19

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Solution

The third proportional to 40,770 and 89,817.19 is: 197,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770 : 89,817.19 = 89,817.19 : x
  2. Step 2: Convert to fraction form
    40,770/89,817.19 = 89,817.19/x
  3. Step 3: Cross multiply
    40,770x = 89,817.19 × 89,817.19
  4. Step 4: Simplify right side
    40,770x = 8,067,127,170.41
  5. Step 5: Solve for x
    x = 8,067,127,170.41/40,770
  6. Step 6: Final answer
    x = 197,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.