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Finding the Third Proportional to 225,581,679,083 and 341,278,556,111

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Solution

The third proportional to 225,581,679,083 and 341,278,556,111 is: 516,314,327,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,581,679,083 : 341,278,556,111 = 341,278,556,111 : x
  2. Step 2: Convert to fraction form
    225,581,679,083/341,278,556,111 = 341,278,556,111/x
  3. Step 3: Cross multiply
    225,581,679,083x = 341,278,556,111 × 341,278,556,111
  4. Step 4: Simplify right side
    225,581,679,083x = 116,471,052,861,208,977,735,680
  5. Step 5: Solve for x
    x = 116,471,052,861,208,977,735,680/225,581,679,083
  6. Step 6: Final answer
    x = 516,314,327,185.92

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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.