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Finding the Third Proportional to 85,283,947 and 131,006,573

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Solution

The third proportional to 85,283,947 and 131,006,573 is: 201,242,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283,947 : 131,006,573 = 131,006,573 : x
  2. Step 2: Convert to fraction form
    85,283,947/131,006,573 = 131,006,573/x
  3. Step 3: Cross multiply
    85,283,947x = 131,006,573 × 131,006,573
  4. Step 4: Simplify right side
    85,283,947x = 17,162,722,169,204,328
  5. Step 5: Solve for x
    x = 17,162,722,169,204,328/85,283,947
  6. Step 6: Final answer
    x = 201,242,118.51

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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.