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Finding the Third Proportional to 85,412,882 and 201,542,981

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Solution

The third proportional to 85,412,882 and 201,542,981 is: 475,567,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412,882 : 201,542,981 = 201,542,981 : x
  2. Step 2: Convert to fraction form
    85,412,882/201,542,981 = 201,542,981/x
  3. Step 3: Cross multiply
    85,412,882x = 201,542,981 × 201,542,981
  4. Step 4: Simplify right side
    85,412,882x = 40,619,573,190,366,360
  5. Step 5: Solve for x
    x = 40,619,573,190,366,360/85,412,882
  6. Step 6: Final answer
    x = 475,567,294.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.