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Finding the Third Proportional to 98,016 and 212,627

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Solution

The third proportional to 98,016 and 212,627 is: 461,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 212,627 = 212,627 : x
  2. Step 2: Convert to fraction form
    98,016/212,627 = 212,627/x
  3. Step 3: Cross multiply
    98,016x = 212,627 × 212,627
  4. Step 4: Simplify right side
    98,016x = 45,210,241,129
  5. Step 5: Solve for x
    x = 45,210,241,129/98,016
  6. Step 6: Final answer
    x = 461,253.68

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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.