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Finding the Third Proportional to 98,645 and 214,048

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Solution

The third proportional to 98,645 and 214,048 is: 464,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,645 : 214,048 = 214,048 : x
  2. Step 2: Convert to fraction form
    98,645/214,048 = 214,048/x
  3. Step 3: Cross multiply
    98,645x = 214,048 × 214,048
  4. Step 4: Simplify right side
    98,645x = 45,816,546,304
  5. Step 5: Solve for x
    x = 45,816,546,304/98,645
  6. Step 6: Final answer
    x = 464,458.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.