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Finding the Third Proportional to 140,740,136 and 293,129,152

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Solution

The third proportional to 140,740,136 and 293,129,152 is: 610,520,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,740,136 : 293,129,152 = 293,129,152 : x
  2. Step 2: Convert to fraction form
    140,740,136/293,129,152 = 293,129,152/x
  3. Step 3: Cross multiply
    140,740,136x = 293,129,152 × 293,129,152
  4. Step 4: Simplify right side
    140,740,136x = 85,924,699,752,239,104
  5. Step 5: Solve for x
    x = 85,924,699,752,239,104/140,740,136
  6. Step 6: Final answer
    x = 610,520,226.81

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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.