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Finding the Third Proportional to 99,206.44 and 208,240.88

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Solution

The third proportional to 99,206.44 and 208,240.88 is: 437,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,206.44 : 208,240.88 = 208,240.88 : x
  2. Step 2: Convert to fraction form
    99,206.44/208,240.88 = 208,240.88/x
  3. Step 3: Cross multiply
    99,206.44x = 208,240.88 × 208,240.88
  4. Step 4: Simplify right side
    99,206.44x = 43,364,262,020.77
  5. Step 5: Solve for x
    x = 43,364,262,020.77/99,206.44
  6. Step 6: Final answer
    x = 437,111.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.