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Finding the Third Proportional to 135,877,229,591.50 and 202,637,532,671

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Solution

The third proportional to 135,877,229,591.50 and 202,637,532,671 is: 302,199,049,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877,229,591.50 : 202,637,532,671 = 202,637,532,671 : x
  2. Step 2: Convert to fraction form
    135,877,229,591.50/202,637,532,671 = 202,637,532,671/x
  3. Step 3: Cross multiply
    135,877,229,591.50x = 202,637,532,671 × 202,637,532,671
  4. Step 4: Simplify right side
    135,877,229,591.50x = 41,061,969,646,990,588,379,136
  5. Step 5: Solve for x
    x = 41,061,969,646,990,588,379,136/135,877,229,591.50
  6. Step 6: Final answer
    x = 302,199,049,615.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.