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Finding the Third Proportional to 44,596 and 97,189

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Solution

The third proportional to 44,596 and 97,189 is: 211,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,596 : 97,189 = 97,189 : x
  2. Step 2: Convert to fraction form
    44,596/97,189 = 97,189/x
  3. Step 3: Cross multiply
    44,596x = 97,189 × 97,189
  4. Step 4: Simplify right side
    44,596x = 9,445,701,721
  5. Step 5: Solve for x
    x = 9,445,701,721/44,596
  6. Step 6: Final answer
    x = 211,806.03

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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.