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Finding the Third Proportional to 43,991 and 97,798

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Solution

The third proportional to 43,991 and 97,798 is: 217,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,991 : 97,798 = 97,798 : x
  2. Step 2: Convert to fraction form
    43,991/97,798 = 97,798/x
  3. Step 3: Cross multiply
    43,991x = 97,798 × 97,798
  4. Step 4: Simplify right side
    43,991x = 9,564,448,804
  5. Step 5: Solve for x
    x = 9,564,448,804/43,991
  6. Step 6: Final answer
    x = 217,418.31

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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.