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Finding the Third Proportional to 98,632 and 211,120

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Solution

The third proportional to 98,632 and 211,120 is: 451,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632 : 211,120 = 211,120 : x
  2. Step 2: Convert to fraction form
    98,632/211,120 = 211,120/x
  3. Step 3: Cross multiply
    98,632x = 211,120 × 211,120
  4. Step 4: Simplify right side
    98,632x = 44,571,654,400
  5. Step 5: Solve for x
    x = 44,571,654,400/98,632
  6. Step 6: Final answer
    x = 451,898.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.