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Finding the Third Proportional to 50,437.69 and 99,166.78

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Solution

The third proportional to 50,437.69 and 99,166.78 is: 194,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.69 : 99,166.78 = 99,166.78 : x
  2. Step 2: Convert to fraction form
    50,437.69/99,166.78 = 99,166.78/x
  3. Step 3: Cross multiply
    50,437.69x = 99,166.78 × 99,166.78
  4. Step 4: Simplify right side
    50,437.69x = 9,834,050,503.49
  5. Step 5: Solve for x
    x = 9,834,050,503.49/50,437.69
  6. Step 6: Final answer
    x = 194,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.