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Finding the Third Proportional to 84,655.13 and 182,234.81

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Solution

The third proportional to 84,655.13 and 182,234.81 is: 392,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,655.13 : 182,234.81 = 182,234.81 : x
  2. Step 2: Convert to fraction form
    84,655.13/182,234.81 = 182,234.81/x
  3. Step 3: Cross multiply
    84,655.13x = 182,234.81 × 182,234.81
  4. Step 4: Simplify right side
    84,655.13x = 33,209,526,886.91
  5. Step 5: Solve for x
    x = 33,209,526,886.91/84,655.13
  6. Step 6: Final answer
    x = 392,291.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.