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Finding the Third Proportional to 44,356 and 96,994

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Solution

The third proportional to 44,356 and 96,994 is: 212,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,356 : 96,994 = 96,994 : x
  2. Step 2: Convert to fraction form
    44,356/96,994 = 96,994/x
  3. Step 3: Cross multiply
    44,356x = 96,994 × 96,994
  4. Step 4: Simplify right side
    44,356x = 9,407,836,036
  5. Step 5: Solve for x
    x = 9,407,836,036/44,356
  6. Step 6: Final answer
    x = 212,098.39

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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.