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Finding the Third Proportional to 98,608 and 215,648

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Solution

The third proportional to 98,608 and 215,648 is: 471,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,608 : 215,648 = 215,648 : x
  2. Step 2: Convert to fraction form
    98,608/215,648 = 215,648/x
  3. Step 3: Cross multiply
    98,608x = 215,648 × 215,648
  4. Step 4: Simplify right side
    98,608x = 46,504,059,904
  5. Step 5: Solve for x
    x = 46,504,059,904/98,608
  6. Step 6: Final answer
    x = 471,605.35

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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.