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Finding the Third Proportional to 46,768.69 and 102,592.13

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Solution

The third proportional to 46,768.69 and 102,592.13 is: 225,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768.69 : 102,592.13 = 102,592.13 : x
  2. Step 2: Convert to fraction form
    46,768.69/102,592.13 = 102,592.13/x
  3. Step 3: Cross multiply
    46,768.69x = 102,592.13 × 102,592.13
  4. Step 4: Simplify right side
    46,768.69x = 10,525,144,112.02
  5. Step 5: Solve for x
    x = 10,525,144,112.02/46,768.69
  6. Step 6: Final answer
    x = 225,046.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.