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Finding the Third Proportional to 98,552 and 211,864

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Solution

The third proportional to 98,552 and 211,864 is: 455,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,552 : 211,864 = 211,864 : x
  2. Step 2: Convert to fraction form
    98,552/211,864 = 211,864/x
  3. Step 3: Cross multiply
    98,552x = 211,864 × 211,864
  4. Step 4: Simplify right side
    98,552x = 44,886,354,496
  5. Step 5: Solve for x
    x = 44,886,354,496/98,552
  6. Step 6: Final answer
    x = 455,458.59

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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.