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Finding the Third Proportional to 48,144.38 and 98,344.13

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Solution

The third proportional to 48,144.38 and 98,344.13 is: 200,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144.38 : 98,344.13 = 98,344.13 : x
  2. Step 2: Convert to fraction form
    48,144.38/98,344.13 = 98,344.13/x
  3. Step 3: Cross multiply
    48,144.38x = 98,344.13 × 98,344.13
  4. Step 4: Simplify right side
    48,144.38x = 9,671,566,922.02
  5. Step 5: Solve for x
    x = 9,671,566,922.02/48,144.38
  6. Step 6: Final answer
    x = 200,886.75

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.