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Finding the Third Proportional to 88,654 and 195,284

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Solution

The third proportional to 88,654 and 195,284 is: 430,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,654 : 195,284 = 195,284 : x
  2. Step 2: Convert to fraction form
    88,654/195,284 = 195,284/x
  3. Step 3: Cross multiply
    88,654x = 195,284 × 195,284
  4. Step 4: Simplify right side
    88,654x = 38,135,840,656
  5. Step 5: Solve for x
    x = 38,135,840,656/88,654
  6. Step 6: Final answer
    x = 430,164.92

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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.