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Finding the Third Proportional to 46,200.38 and 109,851.19

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Solution

The third proportional to 46,200.38 and 109,851.19 is: 261,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.38 : 109,851.19 = 109,851.19 : x
  2. Step 2: Convert to fraction form
    46,200.38/109,851.19 = 109,851.19/x
  3. Step 3: Cross multiply
    46,200.38x = 109,851.19 × 109,851.19
  4. Step 4: Simplify right side
    46,200.38x = 12,067,283,395.16
  5. Step 5: Solve for x
    x = 12,067,283,395.16/46,200.38
  6. Step 6: Final answer
    x = 261,194.49

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.