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Finding the Third Proportional to 101,779.88 and 217,086.75

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Solution

The third proportional to 101,779.88 and 217,086.75 is: 463,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,779.88 : 217,086.75 = 217,086.75 : x
  2. Step 2: Convert to fraction form
    101,779.88/217,086.75 = 217,086.75/x
  3. Step 3: Cross multiply
    101,779.88x = 217,086.75 × 217,086.75
  4. Step 4: Simplify right side
    101,779.88x = 47,126,657,025.56
  5. Step 5: Solve for x
    x = 47,126,657,025.56/101,779.88
  6. Step 6: Final answer
    x = 463,025.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.