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Finding the Third Proportional to 116,796.94 and 183,495.94

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Solution

The third proportional to 116,796.94 and 183,495.94 is: 288,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,796.94 : 183,495.94 = 183,495.94 : x
  2. Step 2: Convert to fraction form
    116,796.94/183,495.94 = 183,495.94/x
  3. Step 3: Cross multiply
    116,796.94x = 183,495.94 × 183,495.94
  4. Step 4: Simplify right side
    116,796.94x = 33,670,759,079.00
  5. Step 5: Solve for x
    x = 33,670,759,079.00/116,796.94
  6. Step 6: Final answer
    x = 288,284.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.