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Finding the Third Proportional to 113,954,866.50 and 231,936,972

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Solution

The third proportional to 113,954,866.50 and 231,936,972 is: 472,070,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954,866.50 : 231,936,972 = 231,936,972 : x
  2. Step 2: Convert to fraction form
    113,954,866.50/231,936,972 = 231,936,972/x
  3. Step 3: Cross multiply
    113,954,866.50x = 231,936,972 × 231,936,972
  4. Step 4: Simplify right side
    113,954,866.50x = 53,794,758,980,528,784
  5. Step 5: Solve for x
    x = 53,794,758,980,528,784/113,954,866.50
  6. Step 6: Final answer
    x = 472,070,747.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.