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Finding the Third Proportional to 106,333,892 and 159,323,448

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Solution

The third proportional to 106,333,892 and 159,323,448 is: 238,719,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333,892 : 159,323,448 = 159,323,448 : x
  2. Step 2: Convert to fraction form
    106,333,892/159,323,448 = 159,323,448/x
  3. Step 3: Cross multiply
    106,333,892x = 159,323,448 × 159,323,448
  4. Step 4: Simplify right side
    106,333,892x = 25,383,961,082,608,704
  5. Step 5: Solve for x
    x = 25,383,961,082,608,704/106,333,892
  6. Step 6: Final answer
    x = 238,719,382.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.