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Finding the Third Proportional to 44,648 and 99,088

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Solution

The third proportional to 44,648 and 99,088 is: 219,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 99,088 = 99,088 : x
  2. Step 2: Convert to fraction form
    44,648/99,088 = 99,088/x
  3. Step 3: Cross multiply
    44,648x = 99,088 × 99,088
  4. Step 4: Simplify right side
    44,648x = 9,818,431,744
  5. Step 5: Solve for x
    x = 9,818,431,744/44,648
  6. Step 6: Final answer
    x = 219,907.54

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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.