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Finding the Third Proportional to 48,046.50 and 103,197.38

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Solution

The third proportional to 48,046.50 and 103,197.38 is: 221,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046.50 : 103,197.38 = 103,197.38 : x
  2. Step 2: Convert to fraction form
    48,046.50/103,197.38 = 103,197.38/x
  3. Step 3: Cross multiply
    48,046.50x = 103,197.38 × 103,197.38
  4. Step 4: Simplify right side
    48,046.50x = 10,649,698,206.89
  5. Step 5: Solve for x
    x = 10,649,698,206.89/48,046.50
  6. Step 6: Final answer
    x = 221,653.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.