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Finding the Third Proportional to 45,515.25 and 92,306.25

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Solution

The third proportional to 45,515.25 and 92,306.25 is: 187,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,515.25 : 92,306.25 = 92,306.25 : x
  2. Step 2: Convert to fraction form
    45,515.25/92,306.25 = 92,306.25/x
  3. Step 3: Cross multiply
    45,515.25x = 92,306.25 × 92,306.25
  4. Step 4: Simplify right side
    45,515.25x = 8,520,443,789.06
  5. Step 5: Solve for x
    x = 8,520,443,789.06/45,515.25
  6. Step 6: Final answer
    x = 187,199.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.