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Finding the Third Proportional to 225,581,679,081 and 341,278,556,107.50

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Solution

The third proportional to 225,581,679,081 and 341,278,556,107.50 is: 516,314,327,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,581,679,081 : 341,278,556,107.50 = 341,278,556,107.50 : x
  2. Step 2: Convert to fraction form
    225,581,679,081/341,278,556,107.50 = 341,278,556,107.50/x
  3. Step 3: Cross multiply
    225,581,679,081x = 341,278,556,107.50 × 341,278,556,107.50
  4. Step 4: Simplify right side
    225,581,679,081x = 116,471,052,858,820,019,617,792
  5. Step 5: Solve for x
    x = 116,471,052,858,820,019,617,792/225,581,679,081
  6. Step 6: Final answer
    x = 516,314,327,179.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.