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Finding the Third Proportional to 102,364.69 and 221,496.38

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Solution

The third proportional to 102,364.69 and 221,496.38 is: 479,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.69 : 221,496.38 = 221,496.38 : x
  2. Step 2: Convert to fraction form
    102,364.69/221,496.38 = 221,496.38/x
  3. Step 3: Cross multiply
    102,364.69x = 221,496.38 × 221,496.38
  4. Step 4: Simplify right side
    102,364.69x = 49,060,644,138.14
  5. Step 5: Solve for x
    x = 49,060,644,138.14/102,364.69
  6. Step 6: Final answer
    x = 479,273.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.