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Finding the Third Proportional to 86,484.52 and 189,995.06

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Solution

The third proportional to 86,484.52 and 189,995.06 is: 417,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,484.52 : 189,995.06 = 189,995.06 : x
  2. Step 2: Convert to fraction form
    86,484.52/189,995.06 = 189,995.06/x
  3. Step 3: Cross multiply
    86,484.52x = 189,995.06 × 189,995.06
  4. Step 4: Simplify right side
    86,484.52x = 36,098,123,774.38
  5. Step 5: Solve for x
    x = 36,098,123,774.38/86,484.52
  6. Step 6: Final answer
    x = 417,394.07

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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.