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Finding the Third Proportional to 46,771.50 and 99,384.75

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Solution

The third proportional to 46,771.50 and 99,384.75 is: 211,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.50 : 99,384.75 = 99,384.75 : x
  2. Step 2: Convert to fraction form
    46,771.50/99,384.75 = 99,384.75/x
  3. Step 3: Cross multiply
    46,771.50x = 99,384.75 × 99,384.75
  4. Step 4: Simplify right side
    46,771.50x = 9,877,328,532.56
  5. Step 5: Solve for x
    x = 9,877,328,532.56/46,771.50
  6. Step 6: Final answer
    x = 211,182.63

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