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Finding the Third Proportional to 46,166.20 and 99,542.67

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Solution

The third proportional to 46,166.20 and 99,542.67 is: 214,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.20 : 99,542.67 = 99,542.67 : x
  2. Step 2: Convert to fraction form
    46,166.20/99,542.67 = 99,542.67/x
  3. Step 3: Cross multiply
    46,166.20x = 99,542.67 × 99,542.67
  4. Step 4: Simplify right side
    46,166.20x = 9,908,743,524.01
  5. Step 5: Solve for x
    x = 9,908,743,524.01/46,166.20
  6. Step 6: Final answer
    x = 214,631.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.