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Finding the Third Proportional to 43,223.63 and 89,932.78

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Solution

The third proportional to 43,223.63 and 89,932.78 is: 187,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,223.63 : 89,932.78 = 89,932.78 : x
  2. Step 2: Convert to fraction form
    43,223.63/89,932.78 = 89,932.78/x
  3. Step 3: Cross multiply
    43,223.63x = 89,932.78 × 89,932.78
  4. Step 4: Simplify right side
    43,223.63x = 8,087,905,143.36
  5. Step 5: Solve for x
    x = 8,087,905,143.36/43,223.63
  6. Step 6: Final answer
    x = 187,117.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.