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Finding the Third Proportional to 48,064.85 and 103,525.38

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Solution

The third proportional to 48,064.85 and 103,525.38 is: 222,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064.85 : 103,525.38 = 103,525.38 : x
  2. Step 2: Convert to fraction form
    48,064.85/103,525.38 = 103,525.38/x
  3. Step 3: Cross multiply
    48,064.85x = 103,525.38 × 103,525.38
  4. Step 4: Simplify right side
    48,064.85x = 10,717,504,886.47
  5. Step 5: Solve for x
    x = 10,717,504,886.47/48,064.85
  6. Step 6: Final answer
    x = 222,980.09

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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.