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Finding the Third Proportional to 45,554 and 99,883

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Solution

The third proportional to 45,554 and 99,883 is: 219,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,554 : 99,883 = 99,883 : x
  2. Step 2: Convert to fraction form
    45,554/99,883 = 99,883/x
  3. Step 3: Cross multiply
    45,554x = 99,883 × 99,883
  4. Step 4: Simplify right side
    45,554x = 9,976,613,689
  5. Step 5: Solve for x
    x = 9,976,613,689/45,554
  6. Step 6: Final answer
    x = 219,006.32

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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.