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Finding the Third Proportional to 88,644 and 195,264

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Solution

The third proportional to 88,644 and 195,264 is: 430,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644 : 195,264 = 195,264 : x
  2. Step 2: Convert to fraction form
    88,644/195,264 = 195,264/x
  3. Step 3: Cross multiply
    88,644x = 195,264 × 195,264
  4. Step 4: Simplify right side
    88,644x = 38,128,029,696
  5. Step 5: Solve for x
    x = 38,128,029,696/88,644
  6. Step 6: Final answer
    x = 430,125.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.