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Finding the Third Proportional to 95,905.50 and 208,672.50

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Solution

The third proportional to 95,905.50 and 208,672.50 is: 454,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,905.50 : 208,672.50 = 208,672.50 : x
  2. Step 2: Convert to fraction form
    95,905.50/208,672.50 = 208,672.50/x
  3. Step 3: Cross multiply
    95,905.50x = 208,672.50 × 208,672.50
  4. Step 4: Simplify right side
    95,905.50x = 43,544,212,256.25
  5. Step 5: Solve for x
    x = 43,544,212,256.25/95,905.50
  6. Step 6: Final answer
    x = 454,032.48

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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.