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Finding the Third Proportional to 150,455,813 and 207,895,754

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Solution

The third proportional to 150,455,813 and 207,895,754 is: 287,264,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,455,813 : 207,895,754 = 207,895,754 : x
  2. Step 2: Convert to fraction form
    150,455,813/207,895,754 = 207,895,754/x
  3. Step 3: Cross multiply
    150,455,813x = 207,895,754 × 207,895,754
  4. Step 4: Simplify right side
    150,455,813x = 43,220,644,531,228,512
  5. Step 5: Solve for x
    x = 43,220,644,531,228,512/150,455,813
  6. Step 6: Final answer
    x = 287,264,703.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.