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Finding the Third Proportional to 101,523.38 and 148,822.31

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Solution

The third proportional to 101,523.38 and 148,822.31 is: 218,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.38 : 148,822.31 = 148,822.31 : x
  2. Step 2: Convert to fraction form
    101,523.38/148,822.31 = 148,822.31/x
  3. Step 3: Cross multiply
    101,523.38x = 148,822.31 × 148,822.31
  4. Step 4: Simplify right side
    101,523.38x = 22,148,080,697.85
  5. Step 5: Solve for x
    x = 22,148,080,697.85/101,523.38
  6. Step 6: Final answer
    x = 218,157.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.