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Finding the Third Proportional to 234,928,569 and 515,033,766

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Solution

The third proportional to 234,928,569 and 515,033,766 is: 1,129,108,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,928,569 : 515,033,766 = 515,033,766 : x
  2. Step 2: Convert to fraction form
    234,928,569/515,033,766 = 515,033,766/x
  3. Step 3: Cross multiply
    234,928,569x = 515,033,766 × 515,033,766
  4. Step 4: Simplify right side
    234,928,569x = 265,259,780,120,142,752
  5. Step 5: Solve for x
    x = 265,259,780,120,142,752/234,928,569
  6. Step 6: Final answer
    x = 1,129,108,227.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.