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Finding the Third Proportional to 137,164,576 and 208,962,543

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Solution

The third proportional to 137,164,576 and 208,962,543 is: 318,342,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164,576 : 208,962,543 = 208,962,543 : x
  2. Step 2: Convert to fraction form
    137,164,576/208,962,543 = 208,962,543/x
  3. Step 3: Cross multiply
    137,164,576x = 208,962,543 × 208,962,543
  4. Step 4: Simplify right side
    137,164,576x = 43,665,344,377,026,848
  5. Step 5: Solve for x
    x = 43,665,344,377,026,848/137,164,576
  6. Step 6: Final answer
    x = 318,342,721.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.