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Finding the Third Proportional to 107,025,738 and 234,498,468

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Solution

The third proportional to 107,025,738 and 234,498,468 is: 513,797,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,025,738 : 234,498,468 = 234,498,468 : x
  2. Step 2: Convert to fraction form
    107,025,738/234,498,468 = 234,498,468/x
  3. Step 3: Cross multiply
    107,025,738x = 234,498,468 × 234,498,468
  4. Step 4: Simplify right side
    107,025,738x = 54,989,531,494,347,024
  5. Step 5: Solve for x
    x = 54,989,531,494,347,024/107,025,738
  6. Step 6: Final answer
    x = 513,797,265.24

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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.