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Finding the Third Proportional to 98,145 and 212,886

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Solution

The third proportional to 98,145 and 212,886 is: 461,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145 : 212,886 = 212,886 : x
  2. Step 2: Convert to fraction form
    98,145/212,886 = 212,886/x
  3. Step 3: Cross multiply
    98,145x = 212,886 × 212,886
  4. Step 4: Simplify right side
    98,145x = 45,320,448,996
  5. Step 5: Solve for x
    x = 45,320,448,996/98,145
  6. Step 6: Final answer
    x = 461,770.33

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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.