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Finding the Third Proportional to 42,166.69 and 90,586.69

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Solution

The third proportional to 42,166.69 and 90,586.69 is: 194,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,166.69 : 90,586.69 = 90,586.69 : x
  2. Step 2: Convert to fraction form
    42,166.69/90,586.69 = 90,586.69/x
  3. Step 3: Cross multiply
    42,166.69x = 90,586.69 × 90,586.69
  4. Step 4: Simplify right side
    42,166.69x = 8,205,947,952.22
  5. Step 5: Solve for x
    x = 8,205,947,952.22/42,166.69
  6. Step 6: Final answer
    x = 194,607.37

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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.