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Finding the Third Proportional to 101,969.44 and 218,701.13

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Solution

The third proportional to 101,969.44 and 218,701.13 is: 469,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.44 : 218,701.13 = 218,701.13 : x
  2. Step 2: Convert to fraction form
    101,969.44/218,701.13 = 218,701.13/x
  3. Step 3: Cross multiply
    101,969.44x = 218,701.13 × 218,701.13
  4. Step 4: Simplify right side
    101,969.44x = 47,830,182,076.27
  5. Step 5: Solve for x
    x = 47,830,182,076.27/101,969.44
  6. Step 6: Final answer
    x = 469,063.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.