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Finding the Third Proportional to 99,238 and 234,073

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Solution

The third proportional to 99,238 and 234,073 is: 552,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,238 : 234,073 = 234,073 : x
  2. Step 2: Convert to fraction form
    99,238/234,073 = 234,073/x
  3. Step 3: Cross multiply
    99,238x = 234,073 × 234,073
  4. Step 4: Simplify right side
    99,238x = 54,790,169,329
  5. Step 5: Solve for x
    x = 54,790,169,329/99,238
  6. Step 6: Final answer
    x = 552,108.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.