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Finding the Third Proportional to 98,636 and 215,722

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Solution

The third proportional to 98,636 and 215,722 is: 471,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,636 : 215,722 = 215,722 : x
  2. Step 2: Convert to fraction form
    98,636/215,722 = 215,722/x
  3. Step 3: Cross multiply
    98,636x = 215,722 × 215,722
  4. Step 4: Simplify right side
    98,636x = 46,535,981,284
  5. Step 5: Solve for x
    x = 46,535,981,284/98,636
  6. Step 6: Final answer
    x = 471,795.10

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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.