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Finding the Third Proportional to 44,362 and 97,311

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Solution

The third proportional to 44,362 and 97,311 is: 213,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,362 : 97,311 = 97,311 : x
  2. Step 2: Convert to fraction form
    44,362/97,311 = 97,311/x
  3. Step 3: Cross multiply
    44,362x = 97,311 × 97,311
  4. Step 4: Simplify right side
    44,362x = 9,469,430,721
  5. Step 5: Solve for x
    x = 9,469,430,721/44,362
  6. Step 6: Final answer
    x = 213,458.16

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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.