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Finding the Third Proportional to 98,114 and 213,412

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Solution

The third proportional to 98,114 and 213,412 is: 464,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114 : 213,412 = 213,412 : x
  2. Step 2: Convert to fraction form
    98,114/213,412 = 213,412/x
  3. Step 3: Cross multiply
    98,114x = 213,412 × 213,412
  4. Step 4: Simplify right side
    98,114x = 45,544,681,744
  5. Step 5: Solve for x
    x = 45,544,681,744/98,114
  6. Step 6: Final answer
    x = 464,201.66

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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.