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Finding the Third Proportional to 109,100,729.81 and 163,491,502.50

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Solution

The third proportional to 109,100,729.81 and 163,491,502.50 is: 244,998,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,100,729.81 : 163,491,502.50 = 163,491,502.50 : x
  2. Step 2: Convert to fraction form
    109,100,729.81/163,491,502.50 = 163,491,502.50/x
  3. Step 3: Cross multiply
    109,100,729.81x = 163,491,502.50 × 163,491,502.50
  4. Step 4: Simplify right side
    109,100,729.81x = 26,729,471,389,707,508
  5. Step 5: Solve for x
    x = 26,729,471,389,707,508/109,100,729.81
  6. Step 6: Final answer
    x = 244,998,098.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.