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Finding the Third Proportional to 95,671.13 and 208,824.75

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Solution

The third proportional to 95,671.13 and 208,824.75 is: 455,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,671.13 : 208,824.75 = 208,824.75 : x
  2. Step 2: Convert to fraction form
    95,671.13/208,824.75 = 208,824.75/x
  3. Step 3: Cross multiply
    95,671.13x = 208,824.75 × 208,824.75
  4. Step 4: Simplify right side
    95,671.13x = 43,607,776,212.56
  5. Step 5: Solve for x
    x = 43,607,776,212.56/95,671.13
  6. Step 6: Final answer
    x = 455,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.