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Finding the Third Proportional to 44,410 and 96,110

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Solution

The third proportional to 44,410 and 96,110 is: 207,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,410 : 96,110 = 96,110 : x
  2. Step 2: Convert to fraction form
    44,410/96,110 = 96,110/x
  3. Step 3: Cross multiply
    44,410x = 96,110 × 96,110
  4. Step 4: Simplify right side
    44,410x = 9,237,132,100
  5. Step 5: Solve for x
    x = 9,237,132,100/44,410
  6. Step 6: Final answer
    x = 207,996.67

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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.