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Finding the Third Proportional to 119,471,720 and 259,968,530

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Solution

The third proportional to 119,471,720 and 259,968,530 is: 565,687,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,471,720 : 259,968,530 = 259,968,530 : x
  2. Step 2: Convert to fraction form
    119,471,720/259,968,530 = 259,968,530/x
  3. Step 3: Cross multiply
    119,471,720x = 259,968,530 × 259,968,530
  4. Step 4: Simplify right side
    119,471,720x = 67,583,636,590,360,896
  5. Step 5: Solve for x
    x = 67,583,636,590,360,896/119,471,720
  6. Step 6: Final answer
    x = 565,687,315.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.