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Finding the Third Proportional to 44,262 and 96,306

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Solution

The third proportional to 44,262 and 96,306 is: 209,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,262 : 96,306 = 96,306 : x
  2. Step 2: Convert to fraction form
    44,262/96,306 = 96,306/x
  3. Step 3: Cross multiply
    44,262x = 96,306 × 96,306
  4. Step 4: Simplify right side
    44,262x = 9,274,845,636
  5. Step 5: Solve for x
    x = 9,274,845,636/44,262
  6. Step 6: Final answer
    x = 209,544.21

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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.