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Finding the Third Proportional to 45,560 and 99,893

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Solution

The third proportional to 45,560 and 99,893 is: 219,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,560 : 99,893 = 99,893 : x
  2. Step 2: Convert to fraction form
    45,560/99,893 = 99,893/x
  3. Step 3: Cross multiply
    45,560x = 99,893 × 99,893
  4. Step 4: Simplify right side
    45,560x = 9,978,611,449
  5. Step 5: Solve for x
    x = 9,978,611,449/45,560
  6. Step 6: Final answer
    x = 219,021.32

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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.