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Finding the Third Proportional to 98,622 and 215,674

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Solution

The third proportional to 98,622 and 215,674 is: 471,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 215,674 = 215,674 : x
  2. Step 2: Convert to fraction form
    98,622/215,674 = 215,674/x
  3. Step 3: Cross multiply
    98,622x = 215,674 × 215,674
  4. Step 4: Simplify right side
    98,622x = 46,515,274,276
  5. Step 5: Solve for x
    x = 46,515,274,276/98,622
  6. Step 6: Final answer
    x = 471,652.11

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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.