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Finding the Third Proportional to 95,307.75 and 203,703.75

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Solution

The third proportional to 95,307.75 and 203,703.75 is: 435,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,307.75 : 203,703.75 = 203,703.75 : x
  2. Step 2: Convert to fraction form
    95,307.75/203,703.75 = 203,703.75/x
  3. Step 3: Cross multiply
    95,307.75x = 203,703.75 × 203,703.75
  4. Step 4: Simplify right side
    95,307.75x = 41,495,217,764.06
  5. Step 5: Solve for x
    x = 41,495,217,764.06/95,307.75
  6. Step 6: Final answer
    x = 435,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.