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Finding the Third Proportional to 101,780.25 and 215,043

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Solution

The third proportional to 101,780.25 and 215,043 is: 454,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.25 : 215,043 = 215,043 : x
  2. Step 2: Convert to fraction form
    101,780.25/215,043 = 215,043/x
  3. Step 3: Cross multiply
    101,780.25x = 215,043 × 215,043
  4. Step 4: Simplify right side
    101,780.25x = 46,243,491,849
  5. Step 5: Solve for x
    x = 46,243,491,849/101,780.25
  6. Step 6: Final answer
    x = 454,346.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.