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Finding the Third Proportional to 75,665,004 and 157,368,843

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Solution

The third proportional to 75,665,004 and 157,368,843 is: 327,297,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,665,004 : 157,368,843 = 157,368,843 : x
  2. Step 2: Convert to fraction form
    75,665,004/157,368,843 = 157,368,843/x
  3. Step 3: Cross multiply
    75,665,004x = 157,368,843 × 157,368,843
  4. Step 4: Simplify right side
    75,665,004x = 24,764,952,747,158,648
  5. Step 5: Solve for x
    x = 24,764,952,747,158,648/75,665,004
  6. Step 6: Final answer
    x = 327,297,316.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.