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Finding the Third Proportional to 54,709,749 and 118,498,302

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Solution

The third proportional to 54,709,749 and 118,498,302 is: 256,660,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709,749 : 118,498,302 = 118,498,302 : x
  2. Step 2: Convert to fraction form
    54,709,749/118,498,302 = 118,498,302/x
  3. Step 3: Cross multiply
    54,709,749x = 118,498,302 × 118,498,302
  4. Step 4: Simplify right side
    54,709,749x = 14,041,847,576,883,204
  5. Step 5: Solve for x
    x = 14,041,847,576,883,204/54,709,749
  6. Step 6: Final answer
    x = 256,660,793.25

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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.