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Finding the Third Proportional to 89,986 and 208,323.50

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Solution

The third proportional to 89,986 and 208,323.50 is: 482,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,986 : 208,323.50 = 208,323.50 : x
  2. Step 2: Convert to fraction form
    89,986/208,323.50 = 208,323.50/x
  3. Step 3: Cross multiply
    89,986x = 208,323.50 × 208,323.50
  4. Step 4: Simplify right side
    89,986x = 43,398,680,652.25
  5. Step 5: Solve for x
    x = 43,398,680,652.25/89,986
  6. Step 6: Final answer
    x = 482,282.58

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.