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Finding the Third Proportional to 45,021.45 and 92,998.76

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Solution

The third proportional to 45,021.45 and 92,998.76 is: 192,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,021.45 : 92,998.76 = 92,998.76 : x
  2. Step 2: Convert to fraction form
    45,021.45/92,998.76 = 92,998.76/x
  3. Step 3: Cross multiply
    45,021.45x = 92,998.76 × 92,998.76
  4. Step 4: Simplify right side
    45,021.45x = 8,648,768,954.67
  5. Step 5: Solve for x
    x = 8,648,768,954.67/45,021.45
  6. Step 6: Final answer
    x = 192,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.