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Finding the Third Proportional to 46,771 and 99,384.50

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Solution

The third proportional to 46,771 and 99,384.50 is: 211,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771 : 99,384.50 = 99,384.50 : x
  2. Step 2: Convert to fraction form
    46,771/99,384.50 = 99,384.50/x
  3. Step 3: Cross multiply
    46,771x = 99,384.50 × 99,384.50
  4. Step 4: Simplify right side
    46,771x = 9,877,278,840.25
  5. Step 5: Solve for x
    x = 9,877,278,840.25/46,771
  6. Step 6: Final answer
    x = 211,183.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.