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Finding the Third Proportional to 44,343 and 97,309

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Solution

The third proportional to 44,343 and 97,309 is: 213,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,343 : 97,309 = 97,309 : x
  2. Step 2: Convert to fraction form
    44,343/97,309 = 97,309/x
  3. Step 3: Cross multiply
    44,343x = 97,309 × 97,309
  4. Step 4: Simplify right side
    44,343x = 9,469,041,481
  5. Step 5: Solve for x
    x = 9,469,041,481/44,343
  6. Step 6: Final answer
    x = 213,540.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.