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Finding the Third Proportional to 48,729.09 and 110,101.78

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Solution

The third proportional to 48,729.09 and 110,101.78 is: 248,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,729.09 : 110,101.78 = 110,101.78 : x
  2. Step 2: Convert to fraction form
    48,729.09/110,101.78 = 110,101.78/x
  3. Step 3: Cross multiply
    48,729.09x = 110,101.78 × 110,101.78
  4. Step 4: Simplify right side
    48,729.09x = 12,122,402,234.42
  5. Step 5: Solve for x
    x = 12,122,402,234.42/48,729.09
  6. Step 6: Final answer
    x = 248,771.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.