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Finding the Third Proportional to 44,434 and 98,710

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Solution

The third proportional to 44,434 and 98,710 is: 219,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,434 : 98,710 = 98,710 : x
  2. Step 2: Convert to fraction form
    44,434/98,710 = 98,710/x
  3. Step 3: Cross multiply
    44,434x = 98,710 × 98,710
  4. Step 4: Simplify right side
    44,434x = 9,743,664,100
  5. Step 5: Solve for x
    x = 9,743,664,100/44,434
  6. Step 6: Final answer
    x = 219,283.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.