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Finding the Third Proportional to 101,782.50 and 217,093.50

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Solution

The third proportional to 101,782.50 and 217,093.50 is: 463,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.50 : 217,093.50 = 217,093.50 : x
  2. Step 2: Convert to fraction form
    101,782.50/217,093.50 = 217,093.50/x
  3. Step 3: Cross multiply
    101,782.50x = 217,093.50 × 217,093.50
  4. Step 4: Simplify right side
    101,782.50x = 47,129,587,742.25
  5. Step 5: Solve for x
    x = 47,129,587,742.25/101,782.50
  6. Step 6: Final answer
    x = 463,042.15

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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.