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Finding the Third Proportional to 98,356 and 211,042

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Solution

The third proportional to 98,356 and 211,042 is: 452,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,356 : 211,042 = 211,042 : x
  2. Step 2: Convert to fraction form
    98,356/211,042 = 211,042/x
  3. Step 3: Cross multiply
    98,356x = 211,042 × 211,042
  4. Step 4: Simplify right side
    98,356x = 44,538,725,764
  5. Step 5: Solve for x
    x = 44,538,725,764/98,356
  6. Step 6: Final answer
    x = 452,831.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.