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Finding the Third Proportional to 95,802.75 and 206,220.94

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Solution

The third proportional to 95,802.75 and 206,220.94 is: 443,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,802.75 : 206,220.94 = 206,220.94 : x
  2. Step 2: Convert to fraction form
    95,802.75/206,220.94 = 206,220.94/x
  3. Step 3: Cross multiply
    95,802.75x = 206,220.94 × 206,220.94
  4. Step 4: Simplify right side
    95,802.75x = 42,527,075,063.38
  5. Step 5: Solve for x
    x = 42,527,075,063.38/95,802.75
  6. Step 6: Final answer
    x = 443,902.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.