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Finding the Third Proportional to 44,769 and 97,446

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Solution

The third proportional to 44,769 and 97,446 is: 212,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,769 : 97,446 = 97,446 : x
  2. Step 2: Convert to fraction form
    44,769/97,446 = 97,446/x
  3. Step 3: Cross multiply
    44,769x = 97,446 × 97,446
  4. Step 4: Simplify right side
    44,769x = 9,495,722,916
  5. Step 5: Solve for x
    x = 9,495,722,916/44,769
  6. Step 6: Final answer
    x = 212,104.87

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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.