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Finding the Third Proportional to 46,801.69 and 100,983.94

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Solution

The third proportional to 46,801.69 and 100,983.94 is: 217,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,801.69 : 100,983.94 = 100,983.94 : x
  2. Step 2: Convert to fraction form
    46,801.69/100,983.94 = 100,983.94/x
  3. Step 3: Cross multiply
    46,801.69x = 100,983.94 × 100,983.94
  4. Step 4: Simplify right side
    46,801.69x = 10,197,755,633.00
  5. Step 5: Solve for x
    x = 10,197,755,633.00/46,801.69
  6. Step 6: Final answer
    x = 217,892.90

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