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Finding the Third Proportional to 100,086.75 and 217,597.50

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Solution

The third proportional to 100,086.75 and 217,597.50 is: 473,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,086.75 : 217,597.50 = 217,597.50 : x
  2. Step 2: Convert to fraction form
    100,086.75/217,597.50 = 217,597.50/x
  3. Step 3: Cross multiply
    100,086.75x = 217,597.50 × 217,597.50
  4. Step 4: Simplify right side
    100,086.75x = 47,348,672,006.25
  5. Step 5: Solve for x
    x = 47,348,672,006.25/100,086.75
  6. Step 6: Final answer
    x = 473,076.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.