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Finding the Third Proportional to 95,303.25 and 203,721.75

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Solution

The third proportional to 95,303.25 and 203,721.75 is: 435,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,303.25 : 203,721.75 = 203,721.75 : x
  2. Step 2: Convert to fraction form
    95,303.25/203,721.75 = 203,721.75/x
  3. Step 3: Cross multiply
    95,303.25x = 203,721.75 × 203,721.75
  4. Step 4: Simplify right side
    95,303.25x = 41,502,551,423.06
  5. Step 5: Solve for x
    x = 41,502,551,423.06/95,303.25
  6. Step 6: Final answer
    x = 435,478.87

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