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Finding the Third Proportional to 95,986.41 and 208,897.59

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Solution

The third proportional to 95,986.41 and 208,897.59 is: 454,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,986.41 : 208,897.59 = 208,897.59 : x
  2. Step 2: Convert to fraction form
    95,986.41/208,897.59 = 208,897.59/x
  3. Step 3: Cross multiply
    95,986.41x = 208,897.59 × 208,897.59
  4. Step 4: Simplify right side
    95,986.41x = 43,638,204,674.54
  5. Step 5: Solve for x
    x = 43,638,204,674.54/95,986.41
  6. Step 6: Final answer
    x = 454,629.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.