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Finding the Third Proportional to 99,346 and 149,811

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Solution

The third proportional to 99,346 and 149,811 is: 225,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,346 : 149,811 = 149,811 : x
  2. Step 2: Convert to fraction form
    99,346/149,811 = 149,811/x
  3. Step 3: Cross multiply
    99,346x = 149,811 × 149,811
  4. Step 4: Simplify right side
    99,346x = 22,443,335,721
  5. Step 5: Solve for x
    x = 22,443,335,721/99,346
  6. Step 6: Final answer
    x = 225,910.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.