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Finding the Third Proportional to 106,333,923 and 159,323,488.50

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Solution

The third proportional to 106,333,923 and 159,323,488.50 is: 238,719,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333,923 : 159,323,488.50 = 159,323,488.50 : x
  2. Step 2: Convert to fraction form
    106,333,923/159,323,488.50 = 159,323,488.50/x
  3. Step 3: Cross multiply
    106,333,923x = 159,323,488.50 × 159,323,488.50
  4. Step 4: Simplify right side
    106,333,923x = 25,383,973,987,809,632
  5. Step 5: Solve for x
    x = 25,383,973,987,809,632/106,333,923
  6. Step 6: Final answer
    x = 238,719,434.70

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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.