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Finding the Third Proportional to 106,533,123 and 229,848,582

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Solution

The third proportional to 106,533,123 and 229,848,582 is: 495,905,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533,123 : 229,848,582 = 229,848,582 : x
  2. Step 2: Convert to fraction form
    106,533,123/229,848,582 = 229,848,582/x
  3. Step 3: Cross multiply
    106,533,123x = 229,848,582 × 229,848,582
  4. Step 4: Simplify right side
    106,533,123x = 52,830,370,647,410,720
  5. Step 5: Solve for x
    x = 52,830,370,647,410,720/106,533,123
  6. Step 6: Final answer
    x = 495,905,584.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.