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Finding the Third Proportional to 116,814.66 and 183,006.84

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Solution

The third proportional to 116,814.66 and 183,006.84 is: 286,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,814.66 : 183,006.84 = 183,006.84 : x
  2. Step 2: Convert to fraction form
    116,814.66/183,006.84 = 183,006.84/x
  3. Step 3: Cross multiply
    116,814.66x = 183,006.84 × 183,006.84
  4. Step 4: Simplify right side
    116,814.66x = 33,491,504,859.34
  5. Step 5: Solve for x
    x = 33,491,504,859.34/116,814.66
  6. Step 6: Final answer
    x = 286,706.36

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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.