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Finding the Third Proportional to 89,372,506.50 and 192,439,990.13

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Solution

The third proportional to 89,372,506.50 and 192,439,990.13 is: 414,368,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,372,506.50 : 192,439,990.13 = 192,439,990.13 : x
  2. Step 2: Convert to fraction form
    89,372,506.50/192,439,990.13 = 192,439,990.13/x
  3. Step 3: Cross multiply
    89,372,506.50x = 192,439,990.13 × 192,439,990.13
  4. Step 4: Simplify right side
    89,372,506.50x = 37,033,149,799,310,096
  5. Step 5: Solve for x
    x = 37,033,149,799,310,096/89,372,506.50
  6. Step 6: Final answer
    x = 414,368,481.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.