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Finding the Third Proportional to 106,333,884 and 159,323,436

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Solution

The third proportional to 106,333,884 and 159,323,436 is: 238,719,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333,884 : 159,323,436 = 159,323,436 : x
  2. Step 2: Convert to fraction form
    106,333,884/159,323,436 = 159,323,436/x
  3. Step 3: Cross multiply
    106,333,884x = 159,323,436 × 159,323,436
  4. Step 4: Simplify right side
    106,333,884x = 25,383,957,258,846,096
  5. Step 5: Solve for x
    x = 25,383,957,258,846,096/106,333,884
  6. Step 6: Final answer
    x = 238,719,364.93

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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.