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Finding the Third Proportional to 98,642 and 215,738

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Solution

The third proportional to 98,642 and 215,738 is: 471,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 215,738 = 215,738 : x
  2. Step 2: Convert to fraction form
    98,642/215,738 = 215,738/x
  3. Step 3: Cross multiply
    98,642x = 215,738 × 215,738
  4. Step 4: Simplify right side
    98,642x = 46,542,884,644
  5. Step 5: Solve for x
    x = 46,542,884,644/98,642
  6. Step 6: Final answer
    x = 471,836.38

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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.