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Finding the Third Proportional to 44,046 and 95,199.75

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Solution

The third proportional to 44,046 and 95,199.75 is: 205,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,046 : 95,199.75 = 95,199.75 : x
  2. Step 2: Convert to fraction form
    44,046/95,199.75 = 95,199.75/x
  3. Step 3: Cross multiply
    44,046x = 95,199.75 × 95,199.75
  4. Step 4: Simplify right side
    44,046x = 9,062,992,400.06
  5. Step 5: Solve for x
    x = 9,062,992,400.06/44,046
  6. Step 6: Final answer
    x = 205,761.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.