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Finding the Third Proportional to 73,136,676 and 152,326,830

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Solution

The third proportional to 73,136,676 and 152,326,830 is: 317,261,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136,676 : 152,326,830 = 152,326,830 : x
  2. Step 2: Convert to fraction form
    73,136,676/152,326,830 = 152,326,830/x
  3. Step 3: Cross multiply
    73,136,676x = 152,326,830 × 152,326,830
  4. Step 4: Simplify right side
    73,136,676x = 23,203,463,137,848,900
  5. Step 5: Solve for x
    x = 23,203,463,137,848,900/73,136,676
  6. Step 6: Final answer
    x = 317,261,658.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.