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Finding the Third Proportional to 86,402 and 189,700

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Solution

The third proportional to 86,402 and 189,700 is: 416,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402 : 189,700 = 189,700 : x
  2. Step 2: Convert to fraction form
    86,402/189,700 = 189,700/x
  3. Step 3: Cross multiply
    86,402x = 189,700 × 189,700
  4. Step 4: Simplify right side
    86,402x = 35,986,090,000
  5. Step 5: Solve for x
    x = 35,986,090,000/86,402
  6. Step 6: Final answer
    x = 416,496.03

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