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Finding the Third Proportional to 101,966.34 and 218,689.88

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Solution

The third proportional to 101,966.34 and 218,689.88 is: 469,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.34 : 218,689.88 = 218,689.88 : x
  2. Step 2: Convert to fraction form
    101,966.34/218,689.88 = 218,689.88/x
  3. Step 3: Cross multiply
    101,966.34x = 218,689.88 × 218,689.88
  4. Step 4: Simplify right side
    101,966.34x = 47,825,261,427.52
  5. Step 5: Solve for x
    x = 47,825,261,427.52/101,966.34
  6. Step 6: Final answer
    x = 469,029.87

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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.