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Finding the Third Proportional to 43,098.75 and 89,883

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Solution

The third proportional to 43,098.75 and 89,883 is: 187,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.75 : 89,883 = 89,883 : x
  2. Step 2: Convert to fraction form
    43,098.75/89,883 = 89,883/x
  3. Step 3: Cross multiply
    43,098.75x = 89,883 × 89,883
  4. Step 4: Simplify right side
    43,098.75x = 8,078,953,689
  5. Step 5: Solve for x
    x = 8,078,953,689/43,098.75
  6. Step 6: Final answer
    x = 187,452.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.