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Finding the Third Proportional to 101,186.72 and 217,681.59

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Solution

The third proportional to 101,186.72 and 217,681.59 is: 468,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,186.72 : 217,681.59 = 217,681.59 : x
  2. Step 2: Convert to fraction form
    101,186.72/217,681.59 = 217,681.59/x
  3. Step 3: Cross multiply
    101,186.72x = 217,681.59 × 217,681.59
  4. Step 4: Simplify right side
    101,186.72x = 47,385,276,257.54
  5. Step 5: Solve for x
    x = 47,385,276,257.54/101,186.72
  6. Step 6: Final answer
    x = 468,295.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.