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Finding the Third Proportional to 88,894 and 193,764

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Solution

The third proportional to 88,894 and 193,764 is: 422,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894 : 193,764 = 193,764 : x
  2. Step 2: Convert to fraction form
    88,894/193,764 = 193,764/x
  3. Step 3: Cross multiply
    88,894x = 193,764 × 193,764
  4. Step 4: Simplify right side
    88,894x = 37,544,487,696
  5. Step 5: Solve for x
    x = 37,544,487,696/88,894
  6. Step 6: Final answer
    x = 422,351.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.