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Finding the Third Proportional to 45,201 and 98,331

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Solution

The third proportional to 45,201 and 98,331 is: 213,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,201 : 98,331 = 98,331 : x
  2. Step 2: Convert to fraction form
    45,201/98,331 = 98,331/x
  3. Step 3: Cross multiply
    45,201x = 98,331 × 98,331
  4. Step 4: Simplify right side
    45,201x = 9,668,985,561
  5. Step 5: Solve for x
    x = 9,668,985,561/45,201
  6. Step 6: Final answer
    x = 213,910.88

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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.