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Finding the Third Proportional to 225,581,679,112 and 341,278,556,148

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Solution

The third proportional to 225,581,679,112 and 341,278,556,148 is: 516,314,327,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,581,679,112 : 341,278,556,148 = 341,278,556,148 : x
  2. Step 2: Convert to fraction form
    225,581,679,112/341,278,556,148 = 341,278,556,148/x
  3. Step 3: Cross multiply
    225,581,679,112x = 341,278,556,148 × 341,278,556,148
  4. Step 4: Simplify right side
    225,581,679,112x = 116,471,052,886,463,586,762,752
  5. Step 5: Solve for x
    x = 116,471,052,886,463,586,762,752/225,581,679,112
  6. Step 6: Final answer
    x = 516,314,327,231.50

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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.