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Finding the Third Proportional to 98,338.50 and 215,631

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Solution

The third proportional to 98,338.50 and 215,631 is: 472,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338.50 : 215,631 = 215,631 : x
  2. Step 2: Convert to fraction form
    98,338.50/215,631 = 215,631/x
  3. Step 3: Cross multiply
    98,338.50x = 215,631 × 215,631
  4. Step 4: Simplify right side
    98,338.50x = 46,496,728,161
  5. Step 5: Solve for x
    x = 46,496,728,161/98,338.50
  6. Step 6: Final answer
    x = 472,823.24

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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.