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Finding the Third Proportional to 45,481.50 and 98,361

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Solution

The third proportional to 45,481.50 and 98,361 is: 212,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,481.50 : 98,361 = 98,361 : x
  2. Step 2: Convert to fraction form
    45,481.50/98,361 = 98,361/x
  3. Step 3: Cross multiply
    45,481.50x = 98,361 × 98,361
  4. Step 4: Simplify right side
    45,481.50x = 9,674,886,321
  5. Step 5: Solve for x
    x = 9,674,886,321/45,481.50
  6. Step 6: Final answer
    x = 212,721.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.