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Finding the Third Proportional to 98,625 and 215,663

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Solution

The third proportional to 98,625 and 215,663 is: 471,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,625 : 215,663 = 215,663 : x
  2. Step 2: Convert to fraction form
    98,625/215,663 = 215,663/x
  3. Step 3: Cross multiply
    98,625x = 215,663 × 215,663
  4. Step 4: Simplify right side
    98,625x = 46,510,529,569
  5. Step 5: Solve for x
    x = 46,510,529,569/98,625
  6. Step 6: Final answer
    x = 471,589.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.