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Finding the Third Proportional to 98,366 and 211,069

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Solution

The third proportional to 98,366 and 211,069 is: 452,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,366 : 211,069 = 211,069 : x
  2. Step 2: Convert to fraction form
    98,366/211,069 = 211,069/x
  3. Step 3: Cross multiply
    98,366x = 211,069 × 211,069
  4. Step 4: Simplify right side
    98,366x = 44,550,122,761
  5. Step 5: Solve for x
    x = 44,550,122,761/98,366
  6. Step 6: Final answer
    x = 452,901.64

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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.