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Finding the Third Proportional to 99,896.63 and 212,506.88

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Solution

The third proportional to 99,896.63 and 212,506.88 is: 452,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,896.63 : 212,506.88 = 212,506.88 : x
  2. Step 2: Convert to fraction form
    99,896.63/212,506.88 = 212,506.88/x
  3. Step 3: Cross multiply
    99,896.63x = 212,506.88 × 212,506.88
  4. Step 4: Simplify right side
    99,896.63x = 45,159,171,922.27
  5. Step 5: Solve for x
    x = 45,159,171,922.27/99,896.63
  6. Step 6: Final answer
    x = 452,059.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.