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Finding the Third Proportional to 80,934.19 and 189,038.81

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Solution

The third proportional to 80,934.19 and 189,038.81 is: 441,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,934.19 : 189,038.81 = 189,038.81 : x
  2. Step 2: Convert to fraction form
    80,934.19/189,038.81 = 189,038.81/x
  3. Step 3: Cross multiply
    80,934.19x = 189,038.81 × 189,038.81
  4. Step 4: Simplify right side
    80,934.19x = 35,735,672,631.41
  5. Step 5: Solve for x
    x = 35,735,672,631.41/80,934.19
  6. Step 6: Final answer
    x = 441,539.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.