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Finding the Third Proportional to 45,229 and 99,433

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Solution

The third proportional to 45,229 and 99,433 is: 218,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,229 : 99,433 = 99,433 : x
  2. Step 2: Convert to fraction form
    45,229/99,433 = 99,433/x
  3. Step 3: Cross multiply
    45,229x = 99,433 × 99,433
  4. Step 4: Simplify right side
    45,229x = 9,886,921,489
  5. Step 5: Solve for x
    x = 9,886,921,489/45,229
  6. Step 6: Final answer
    x = 218,596.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.