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Finding the Third Proportional to 47,236 and 99,803

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Solution

The third proportional to 47,236 and 99,803 is: 210,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236 : 99,803 = 99,803 : x
  2. Step 2: Convert to fraction form
    47,236/99,803 = 99,803/x
  3. Step 3: Cross multiply
    47,236x = 99,803 × 99,803
  4. Step 4: Simplify right side
    47,236x = 9,960,638,809
  5. Step 5: Solve for x
    x = 9,960,638,809/47,236
  6. Step 6: Final answer
    x = 210,869.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.