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Finding the Third Proportional to 101,393.86 and 234,719.86

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Solution

The third proportional to 101,393.86 and 234,719.86 is: 543,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393.86 : 234,719.86 = 234,719.86 : x
  2. Step 2: Convert to fraction form
    101,393.86/234,719.86 = 234,719.86/x
  3. Step 3: Cross multiply
    101,393.86x = 234,719.86 × 234,719.86
  4. Step 4: Simplify right side
    101,393.86x = 55,093,412,385.02
  5. Step 5: Solve for x
    x = 55,093,412,385.02/101,393.86
  6. Step 6: Final answer
    x = 543,360.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.