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Finding the Third Proportional to 117,589,767 and 182,812,790.25

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Solution

The third proportional to 117,589,767 and 182,812,790.25 is: 284,212,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,589,767 : 182,812,790.25 = 182,812,790.25 : x
  2. Step 2: Convert to fraction form
    117,589,767/182,812,790.25 = 182,812,790.25/x
  3. Step 3: Cross multiply
    117,589,767x = 182,812,790.25 × 182,812,790.25
  4. Step 4: Simplify right side
    117,589,767x = 33,420,516,278,990,496
  5. Step 5: Solve for x
    x = 33,420,516,278,990,496/117,589,767
  6. Step 6: Final answer
    x = 284,212,794.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.