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Finding the Third Proportional to 98,532 and 211,860

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Solution

The third proportional to 98,532 and 211,860 is: 455,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 211,860 = 211,860 : x
  2. Step 2: Convert to fraction form
    98,532/211,860 = 211,860/x
  3. Step 3: Cross multiply
    98,532x = 211,860 × 211,860
  4. Step 4: Simplify right side
    98,532x = 44,884,659,600
  5. Step 5: Solve for x
    x = 44,884,659,600/98,532
  6. Step 6: Final answer
    x = 455,533.83

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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.