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Finding the Third Proportional to 45,439 and 99,302

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Solution

The third proportional to 45,439 and 99,302 is: 217,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,439 : 99,302 = 99,302 : x
  2. Step 2: Convert to fraction form
    45,439/99,302 = 99,302/x
  3. Step 3: Cross multiply
    45,439x = 99,302 × 99,302
  4. Step 4: Simplify right side
    45,439x = 9,860,887,204
  5. Step 5: Solve for x
    x = 9,860,887,204/45,439
  6. Step 6: Final answer
    x = 217,013.74

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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.