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Finding the Third Proportional to 44,991 and 98,458

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Solution

The third proportional to 44,991 and 98,458 is: 215,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,991 : 98,458 = 98,458 : x
  2. Step 2: Convert to fraction form
    44,991/98,458 = 98,458/x
  3. Step 3: Cross multiply
    44,991x = 98,458 × 98,458
  4. Step 4: Simplify right side
    44,991x = 9,693,977,764
  5. Step 5: Solve for x
    x = 9,693,977,764/44,991
  6. Step 6: Final answer
    x = 215,464.82

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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.