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Finding the Third Proportional to 116,615,650.50 and 269,972,375.50

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Solution

The third proportional to 116,615,650.50 and 269,972,375.50 is: 625,002,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,615,650.50 : 269,972,375.50 = 269,972,375.50 : x
  2. Step 2: Convert to fraction form
    116,615,650.50/269,972,375.50 = 269,972,375.50/x
  3. Step 3: Cross multiply
    116,615,650.50x = 269,972,375.50 × 269,972,375.50
  4. Step 4: Simplify right side
    116,615,650.50x = 72,885,083,533,113,008
  5. Step 5: Solve for x
    x = 72,885,083,533,113,008/116,615,650.50
  6. Step 6: Final answer
    x = 625,002,589.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.