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Finding the Third Proportional to 102,284.44 and 218,784.38

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Solution

The third proportional to 102,284.44 and 218,784.38 is: 467,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284.44 : 218,784.38 = 218,784.38 : x
  2. Step 2: Convert to fraction form
    102,284.44/218,784.38 = 218,784.38/x
  3. Step 3: Cross multiply
    102,284.44x = 218,784.38 × 218,784.38
  4. Step 4: Simplify right side
    102,284.44x = 47,866,602,744.14
  5. Step 5: Solve for x
    x = 47,866,602,744.14/102,284.44
  6. Step 6: Final answer
    x = 467,975.42

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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.