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Finding the Third Proportional to 234,230,215 and 508,782,311

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Solution

The third proportional to 234,230,215 and 508,782,311 is: 1,105,149,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,230,215 : 508,782,311 = 508,782,311 : x
  2. Step 2: Convert to fraction form
    234,230,215/508,782,311 = 508,782,311/x
  3. Step 3: Cross multiply
    234,230,215x = 508,782,311 × 508,782,311
  4. Step 4: Simplify right side
    234,230,215x = 258,859,439,986,500,736
  5. Step 5: Solve for x
    x = 258,859,439,986,500,736/234,230,215
  6. Step 6: Final answer
    x = 1,105,149,649.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.