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Finding the Third Proportional to 99,236 and 234,068

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Solution

The third proportional to 99,236 and 234,068 is: 552,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,236 : 234,068 = 234,068 : x
  2. Step 2: Convert to fraction form
    99,236/234,068 = 234,068/x
  3. Step 3: Cross multiply
    99,236x = 234,068 × 234,068
  4. Step 4: Simplify right side
    99,236x = 54,787,828,624
  5. Step 5: Solve for x
    x = 54,787,828,624/99,236
  6. Step 6: Final answer
    x = 552,096.30

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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.