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Finding the Third Proportional to 95,918.55 and 208,638.28

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Solution

The third proportional to 95,918.55 and 208,638.28 is: 453,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,918.55 : 208,638.28 = 208,638.28 : x
  2. Step 2: Convert to fraction form
    95,918.55/208,638.28 = 208,638.28/x
  3. Step 3: Cross multiply
    95,918.55x = 208,638.28 × 208,638.28
  4. Step 4: Simplify right side
    95,918.55x = 43,529,932,402.95
  5. Step 5: Solve for x
    x = 43,529,932,402.95/95,918.55
  6. Step 6: Final answer
    x = 453,821.81

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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.