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Finding the Third Proportional to 95,721.75 and 203,547.94

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Solution

The third proportional to 95,721.75 and 203,547.94 is: 432,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,721.75 : 203,547.94 = 203,547.94 : x
  2. Step 2: Convert to fraction form
    95,721.75/203,547.94 = 203,547.94/x
  3. Step 3: Cross multiply
    95,721.75x = 203,547.94 × 203,547.94
  4. Step 4: Simplify right side
    95,721.75x = 41,431,762,860.50
  5. Step 5: Solve for x
    x = 41,431,762,860.50/95,721.75
  6. Step 6: Final answer
    x = 432,835.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.