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Finding the Third Proportional to 150,455,814 and 207,895,755.75

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Solution

The third proportional to 150,455,814 and 207,895,755.75 is: 287,264,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,455,814 : 207,895,755.75 = 207,895,755.75 : x
  2. Step 2: Convert to fraction form
    150,455,814/207,895,755.75 = 207,895,755.75/x
  3. Step 3: Cross multiply
    150,455,814x = 207,895,755.75 × 207,895,755.75
  4. Step 4: Simplify right side
    150,455,814x = 43,220,645,258,863,656
  5. Step 5: Solve for x
    x = 43,220,645,258,863,656/150,455,814
  6. Step 6: Final answer
    x = 287,264,706.56

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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.