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Finding the Third Proportional to 46,020.38 and 110,836.13

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Solution

The third proportional to 46,020.38 and 110,836.13 is: 266,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,020.38 : 110,836.13 = 110,836.13 : x
  2. Step 2: Convert to fraction form
    46,020.38/110,836.13 = 110,836.13/x
  3. Step 3: Cross multiply
    46,020.38x = 110,836.13 × 110,836.13
  4. Step 4: Simplify right side
    46,020.38x = 12,284,646,605.02
  5. Step 5: Solve for x
    x = 12,284,646,605.02/46,020.38
  6. Step 6: Final answer
    x = 266,939.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.