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Finding the Third Proportional to 86,276 and 189,896

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Solution

The third proportional to 86,276 and 189,896 is: 417,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,276 : 189,896 = 189,896 : x
  2. Step 2: Convert to fraction form
    86,276/189,896 = 189,896/x
  3. Step 3: Cross multiply
    86,276x = 189,896 × 189,896
  4. Step 4: Simplify right side
    86,276x = 36,060,490,816
  5. Step 5: Solve for x
    x = 36,060,490,816/86,276
  6. Step 6: Final answer
    x = 417,966.65

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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.