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Finding the Third Proportional to 135,877,229,589 and 202,637,532,667.50

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Solution

The third proportional to 135,877,229,589 and 202,637,532,667.50 is: 302,199,049,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877,229,589 : 202,637,532,667.50 = 202,637,532,667.50 : x
  2. Step 2: Convert to fraction form
    135,877,229,589/202,637,532,667.50 = 202,637,532,667.50/x
  3. Step 3: Cross multiply
    135,877,229,589x = 202,637,532,667.50 × 202,637,532,667.50
  4. Step 4: Simplify right side
    135,877,229,589x = 41,061,969,645,572,133,486,592
  5. Step 5: Solve for x
    x = 41,061,969,645,572,133,486,592/135,877,229,589
  6. Step 6: Final answer
    x = 302,199,049,611.01

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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.