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Finding the Third Proportional to 73,800,741 and 161,500,137

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Solution

The third proportional to 73,800,741 and 161,500,137 is: 353,415,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,800,741 : 161,500,137 = 161,500,137 : x
  2. Step 2: Convert to fraction form
    73,800,741/161,500,137 = 161,500,137/x
  3. Step 3: Cross multiply
    73,800,741x = 161,500,137 × 161,500,137
  4. Step 4: Simplify right side
    73,800,741x = 26,082,294,251,018,768
  5. Step 5: Solve for x
    x = 26,082,294,251,018,768/73,800,741
  6. Step 6: Final answer
    x = 353,415,072.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.