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Finding the Third Proportional to 46,738.69 and 102,043.13

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Solution

The third proportional to 46,738.69 and 102,043.13 is: 222,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,738.69 : 102,043.13 = 102,043.13 : x
  2. Step 2: Convert to fraction form
    46,738.69/102,043.13 = 102,043.13/x
  3. Step 3: Cross multiply
    46,738.69x = 102,043.13 × 102,043.13
  4. Step 4: Simplify right side
    46,738.69x = 10,412,799,359.77
  5. Step 5: Solve for x
    x = 10,412,799,359.77/46,738.69
  6. Step 6: Final answer
    x = 222,787.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.