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Finding the Third Proportional to 45,311.91 and 97,184.81

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Solution

The third proportional to 45,311.91 and 97,184.81 is: 208,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.91 : 97,184.81 = 97,184.81 : x
  2. Step 2: Convert to fraction form
    45,311.91/97,184.81 = 97,184.81/x
  3. Step 3: Cross multiply
    45,311.91x = 97,184.81 × 97,184.81
  4. Step 4: Simplify right side
    45,311.91x = 9,444,887,780.66
  5. Step 5: Solve for x
    x = 9,444,887,780.66/45,311.91
  6. Step 6: Final answer
    x = 208,441.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.