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Finding the Third Proportional to 98,434 and 214,911

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Solution

The third proportional to 98,434 and 214,911 is: 469,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,434 : 214,911 = 214,911 : x
  2. Step 2: Convert to fraction form
    98,434/214,911 = 214,911/x
  3. Step 3: Cross multiply
    98,434x = 214,911 × 214,911
  4. Step 4: Simplify right side
    98,434x = 46,186,737,921
  5. Step 5: Solve for x
    x = 46,186,737,921/98,434
  6. Step 6: Final answer
    x = 469,215.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.