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Finding the Third Proportional to 140,740,128 and 293,129,136

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Solution

The third proportional to 140,740,128 and 293,129,136 is: 610,520,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,740,128 : 293,129,136 = 293,129,136 : x
  2. Step 2: Convert to fraction form
    140,740,128/293,129,136 = 293,129,136/x
  3. Step 3: Cross multiply
    140,740,128x = 293,129,136 × 293,129,136
  4. Step 4: Simplify right side
    140,740,128x = 85,924,690,372,106,496
  5. Step 5: Solve for x
    x = 85,924,690,372,106,496/140,740,128
  6. Step 6: Final answer
    x = 610,520,194.87

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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.