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Finding the Third Proportional to 44,340 and 97,016

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Solution

The third proportional to 44,340 and 97,016 is: 212,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,340 : 97,016 = 97,016 : x
  2. Step 2: Convert to fraction form
    44,340/97,016 = 97,016/x
  3. Step 3: Cross multiply
    44,340x = 97,016 × 97,016
  4. Step 4: Simplify right side
    44,340x = 9,412,104,256
  5. Step 5: Solve for x
    x = 9,412,104,256/44,340
  6. Step 6: Final answer
    x = 212,271.18

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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.