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Finding the Third Proportional to 101,786.50 and 217,098.50

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Solution

The third proportional to 101,786.50 and 217,098.50 is: 463,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,786.50 : 217,098.50 = 217,098.50 : x
  2. Step 2: Convert to fraction form
    101,786.50/217,098.50 = 217,098.50/x
  3. Step 3: Cross multiply
    101,786.50x = 217,098.50 × 217,098.50
  4. Step 4: Simplify right side
    101,786.50x = 47,131,758,702.25
  5. Step 5: Solve for x
    x = 47,131,758,702.25/101,786.50
  6. Step 6: Final answer
    x = 463,045.28

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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.