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Finding the Third Proportional to 225,581,679,085 and 341,278,556,114

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Solution

The third proportional to 225,581,679,085 and 341,278,556,114 is: 516,314,327,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,581,679,085 : 341,278,556,114 = 341,278,556,114 : x
  2. Step 2: Convert to fraction form
    225,581,679,085/341,278,556,114 = 341,278,556,114/x
  3. Step 3: Cross multiply
    225,581,679,085x = 341,278,556,114 × 341,278,556,114
  4. Step 4: Simplify right side
    225,581,679,085x = 116,471,052,863,256,653,725,696
  5. Step 5: Solve for x
    x = 116,471,052,863,256,653,725,696/225,581,679,085
  6. Step 6: Final answer
    x = 516,314,327,190.42

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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.