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Finding the Third Proportional to 44,711 and 97,111

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Solution

The third proportional to 44,711 and 97,111 is: 210,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,711 : 97,111 = 97,111 : x
  2. Step 2: Convert to fraction form
    44,711/97,111 = 97,111/x
  3. Step 3: Cross multiply
    44,711x = 97,111 × 97,111
  4. Step 4: Simplify right side
    44,711x = 9,430,546,321
  5. Step 5: Solve for x
    x = 9,430,546,321/44,711
  6. Step 6: Final answer
    x = 210,922.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.