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Finding the Third Proportional to 101,206,131 and 155,492,031

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Solution

The third proportional to 101,206,131 and 155,492,031 is: 238,896,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206,131 : 155,492,031 = 155,492,031 : x
  2. Step 2: Convert to fraction form
    101,206,131/155,492,031 = 155,492,031/x
  3. Step 3: Cross multiply
    101,206,131x = 155,492,031 × 155,492,031
  4. Step 4: Simplify right side
    101,206,131x = 24,177,771,704,504,960
  5. Step 5: Solve for x
    x = 24,177,771,704,504,960/101,206,131
  6. Step 6: Final answer
    x = 238,896,314.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.