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Finding the Third Proportional to 99,532.13 and 208,288.13

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Solution

The third proportional to 99,532.13 and 208,288.13 is: 435,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,532.13 : 208,288.13 = 208,288.13 : x
  2. Step 2: Convert to fraction form
    99,532.13/208,288.13 = 208,288.13/x
  3. Step 3: Cross multiply
    99,532.13x = 208,288.13 × 208,288.13
  4. Step 4: Simplify right side
    99,532.13x = 43,383,943,016.02
  5. Step 5: Solve for x
    x = 43,383,943,016.02/99,532.13
  6. Step 6: Final answer
    x = 435,878.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.