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Finding the Third Proportional to 54,065,214 and 111,962,781

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Solution

The third proportional to 54,065,214 and 111,962,781 is: 231,861,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,065,214 : 111,962,781 = 111,962,781 : x
  2. Step 2: Convert to fraction form
    54,065,214/111,962,781 = 111,962,781/x
  3. Step 3: Cross multiply
    54,065,214x = 111,962,781 × 111,962,781
  4. Step 4: Simplify right side
    54,065,214x = 12,535,664,329,253,960
  5. Step 5: Solve for x
    x = 12,535,664,329,253,960/54,065,214
  6. Step 6: Final answer
    x = 231,861,920.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.