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Finding the Third Proportional to 45,399 and 96,205.50

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Solution

The third proportional to 45,399 and 96,205.50 is: 203,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,399 : 96,205.50 = 96,205.50 : x
  2. Step 2: Convert to fraction form
    45,399/96,205.50 = 96,205.50/x
  3. Step 3: Cross multiply
    45,399x = 96,205.50 × 96,205.50
  4. Step 4: Simplify right side
    45,399x = 9,255,498,230.25
  5. Step 5: Solve for x
    x = 9,255,498,230.25/45,399
  6. Step 6: Final answer
    x = 203,870.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.