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Finding the Third Proportional to 89,991 and 192,432.38

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Solution

The third proportional to 89,991 and 192,432.38 is: 411,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,991 : 192,432.38 = 192,432.38 : x
  2. Step 2: Convert to fraction form
    89,991/192,432.38 = 192,432.38/x
  3. Step 3: Cross multiply
    89,991x = 192,432.38 × 192,432.38
  4. Step 4: Simplify right side
    89,991x = 37,030,218,948.14
  5. Step 5: Solve for x
    x = 37,030,218,948.14/89,991
  6. Step 6: Final answer
    x = 411,488.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.