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Finding the Third Proportional to 45,327 and 99,408

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Solution

The third proportional to 45,327 and 99,408 is: 218,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,327 : 99,408 = 99,408 : x
  2. Step 2: Convert to fraction form
    45,327/99,408 = 99,408/x
  3. Step 3: Cross multiply
    45,327x = 99,408 × 99,408
  4. Step 4: Simplify right side
    45,327x = 9,881,950,464
  5. Step 5: Solve for x
    x = 9,881,950,464/45,327
  6. Step 6: Final answer
    x = 218,014.66

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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.