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Finding the Third Proportional to 45,462.75 and 95,893.50

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Solution

The third proportional to 45,462.75 and 95,893.50 is: 202,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462.75 : 95,893.50 = 95,893.50 : x
  2. Step 2: Convert to fraction form
    45,462.75/95,893.50 = 95,893.50/x
  3. Step 3: Cross multiply
    45,462.75x = 95,893.50 × 95,893.50
  4. Step 4: Simplify right side
    45,462.75x = 9,195,563,342.25
  5. Step 5: Solve for x
    x = 9,195,563,342.25/45,462.75
  6. Step 6: Final answer
    x = 202,265.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.