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Finding the Third Proportional to 100,301.63 and 148,793.63

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Solution

The third proportional to 100,301.63 and 148,793.63 is: 220,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.63 : 148,793.63 = 148,793.63 : x
  2. Step 2: Convert to fraction form
    100,301.63/148,793.63 = 148,793.63/x
  3. Step 3: Cross multiply
    100,301.63x = 148,793.63 × 148,793.63
  4. Step 4: Simplify right side
    100,301.63x = 22,139,542,840.64
  5. Step 5: Solve for x
    x = 22,139,542,840.64/100,301.63
  6. Step 6: Final answer
    x = 220,729.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.