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Finding the Third Proportional to 117,589,785 and 182,812,818

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Solution

The third proportional to 117,589,785 and 182,812,818 is: 284,212,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,589,785 : 182,812,818 = 182,812,818 : x
  2. Step 2: Convert to fraction form
    117,589,785/182,812,818 = 182,812,818/x
  3. Step 3: Cross multiply
    117,589,785x = 182,812,818 × 182,812,818
  4. Step 4: Simplify right side
    117,589,785x = 33,420,526,425,101,124
  5. Step 5: Solve for x
    x = 33,420,526,425,101,124/117,589,785
  6. Step 6: Final answer
    x = 284,212,837.24

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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.