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Finding the Third Proportional to 86,264.50 and 188,522

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Solution

The third proportional to 86,264.50 and 188,522 is: 411,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264.50 : 188,522 = 188,522 : x
  2. Step 2: Convert to fraction form
    86,264.50/188,522 = 188,522/x
  3. Step 3: Cross multiply
    86,264.50x = 188,522 × 188,522
  4. Step 4: Simplify right side
    86,264.50x = 35,540,544,484
  5. Step 5: Solve for x
    x = 35,540,544,484/86,264.50
  6. Step 6: Final answer
    x = 411,995.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.