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Finding the Third Proportional to 45,311.91 and 70,018.17

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Solution

The third proportional to 45,311.91 and 70,018.17 is: 108,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.91 : 70,018.17 = 70,018.17 : x
  2. Step 2: Convert to fraction form
    45,311.91/70,018.17 = 70,018.17/x
  3. Step 3: Cross multiply
    45,311.91x = 70,018.17 × 70,018.17
  4. Step 4: Simplify right side
    45,311.91x = 4,902,544,392.72
  5. Step 5: Solve for x
    x = 4,902,544,392.72/45,311.91
  6. Step 6: Final answer
    x = 108,195.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.