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Finding the Third Proportional to 99,006.75 and 217,013.06

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Solution

The third proportional to 99,006.75 and 217,013.06 is: 475,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,006.75 : 217,013.06 = 217,013.06 : x
  2. Step 2: Convert to fraction form
    99,006.75/217,013.06 = 217,013.06/x
  3. Step 3: Cross multiply
    99,006.75x = 217,013.06 × 217,013.06
  4. Step 4: Simplify right side
    99,006.75x = 47,094,669,295.63
  5. Step 5: Solve for x
    x = 47,094,669,295.63/99,006.75
  6. Step 6: Final answer
    x = 475,671.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.