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Finding the Third Proportional to 46,029.52 and 100,260.28

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Solution

The third proportional to 46,029.52 and 100,260.28 is: 218,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,029.52 : 100,260.28 = 100,260.28 : x
  2. Step 2: Convert to fraction form
    46,029.52/100,260.28 = 100,260.28/x
  3. Step 3: Cross multiply
    46,029.52x = 100,260.28 × 100,260.28
  4. Step 4: Simplify right side
    46,029.52x = 10,052,123,996.33
  5. Step 5: Solve for x
    x = 10,052,123,996.33/46,029.52
  6. Step 6: Final answer
    x = 218,384.31

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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.