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Finding the Third Proportional to 107,025,736 and 234,498,464

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Solution

The third proportional to 107,025,736 and 234,498,464 is: 513,797,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,025,736 : 234,498,464 = 234,498,464 : x
  2. Step 2: Convert to fraction form
    107,025,736/234,498,464 = 234,498,464/x
  3. Step 3: Cross multiply
    107,025,736x = 234,498,464 × 234,498,464
  4. Step 4: Simplify right side
    107,025,736x = 54,989,529,618,359,296
  5. Step 5: Solve for x
    x = 54,989,529,618,359,296/107,025,736
  6. Step 6: Final answer
    x = 513,797,257.31

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