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Finding the Third Proportional to 98,641 and 215,736

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Solution

The third proportional to 98,641 and 215,736 is: 471,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,641 : 215,736 = 215,736 : x
  2. Step 2: Convert to fraction form
    98,641/215,736 = 215,736/x
  3. Step 3: Cross multiply
    98,641x = 215,736 × 215,736
  4. Step 4: Simplify right side
    98,641x = 46,542,021,696
  5. Step 5: Solve for x
    x = 46,542,021,696/98,641
  6. Step 6: Final answer
    x = 471,832.42

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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.