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Finding the Third Proportional to 41,431.50 and 89,864.44

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Solution

The third proportional to 41,431.50 and 89,864.44 is: 194,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431.50 : 89,864.44 = 89,864.44 : x
  2. Step 2: Convert to fraction form
    41,431.50/89,864.44 = 89,864.44/x
  3. Step 3: Cross multiply
    41,431.50x = 89,864.44 × 89,864.44
  4. Step 4: Simplify right side
    41,431.50x = 8,075,617,127.19
  5. Step 5: Solve for x
    x = 8,075,617,127.19/41,431.50
  6. Step 6: Final answer
    x = 194,914.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.