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Finding the Third Proportional to 86,211 and 133,799.50

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Solution

The third proportional to 86,211 and 133,799.50 is: 207,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,211 : 133,799.50 = 133,799.50 : x
  2. Step 2: Convert to fraction form
    86,211/133,799.50 = 133,799.50/x
  3. Step 3: Cross multiply
    86,211x = 133,799.50 × 133,799.50
  4. Step 4: Simplify right side
    86,211x = 17,902,306,200.25
  5. Step 5: Solve for x
    x = 17,902,306,200.25/86,211
  6. Step 6: Final answer
    x = 207,656.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.